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Finding the Fourth Proportional to 105,101.80, 157,652.70 and 100,551.40

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Solution

The fourth proportional to 105,101.80, 157,652.70 and 100,551.40 is: 150,827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,101.80 : 157,652.70 = 100,551.40 : x
  2. Step 2: Convert to fraction form
    105,101.80/157,652.70 = 100,551.40/x
  3. Step 3: Cross multiply
    105,101.80x = 157,652.70 × 100,551.40
  4. Step 4: Simplify right side
    105,101.80x = 15,852,199,698.78
  5. Step 5: Solve for x
    x = 15,852,199,698.78/105,101.80
  6. Step 6: Final answer
    x = 150,827.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.