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Finding the Fourth Proportional to 105,007.68, 144,938.16 and 59,712.12

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Solution

The fourth proportional to 105,007.68, 144,938.16 and 59,712.12 is: 82,418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,007.68 : 144,938.16 = 59,712.12 : x
  2. Step 2: Convert to fraction form
    105,007.68/144,938.16 = 59,712.12/x
  3. Step 3: Cross multiply
    105,007.68x = 144,938.16 × 59,712.12
  4. Step 4: Simplify right side
    105,007.68x = 8,654,564,802.50
  5. Step 5: Solve for x
    x = 8,654,564,802.50/105,007.68
  6. Step 6: Final answer
    x = 82,418.40

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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.