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Finding the Fourth Proportional to 107,152.34, 160,772.31 and 59,140.40

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Solution

The fourth proportional to 107,152.34, 160,772.31 and 59,140.40 is: 88,734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,152.34 : 160,772.31 = 59,140.40 : x
  2. Step 2: Convert to fraction form
    107,152.34/160,772.31 = 59,140.40/x
  3. Step 3: Cross multiply
    107,152.34x = 160,772.31 × 59,140.40
  4. Step 4: Simplify right side
    107,152.34x = 9,508,137,918.46
  5. Step 5: Solve for x
    x = 9,508,137,918.46/107,152.34
  6. Step 6: Final answer
    x = 88,734.77

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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.