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Finding the Fourth Proportional to 105,389.68, 157,333.25 and 101,698.24

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Solution

The fourth proportional to 105,389.68, 157,333.25 and 101,698.24 is: 151,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,389.68 : 157,333.25 = 101,698.24 : x
  2. Step 2: Convert to fraction form
    105,389.68/157,333.25 = 101,698.24/x
  3. Step 3: Cross multiply
    105,389.68x = 157,333.25 × 101,698.24
  4. Step 4: Simplify right side
    105,389.68x = 16,000,514,618.48
  5. Step 5: Solve for x
    x = 16,000,514,618.48/105,389.68
  6. Step 6: Final answer
    x = 151,822.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.