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Finding the Fourth Proportional to 114,301, 157,735.38 and 64,001.08

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Solution

The fourth proportional to 114,301, 157,735.38 and 64,001.08 is: 88,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,301 : 157,735.38 = 64,001.08 : x
  2. Step 2: Convert to fraction form
    114,301/157,735.38 = 64,001.08/x
  3. Step 3: Cross multiply
    114,301x = 157,735.38 × 64,001.08
  4. Step 4: Simplify right side
    114,301x = 10,095,234,674.21
  5. Step 5: Solve for x
    x = 10,095,234,674.21/114,301
  6. Step 6: Final answer
    x = 88,321.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.