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Finding the Fourth Proportional to 152,604.90, 210,569.10 and 101,693.64

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Solution

The fourth proportional to 152,604.90, 210,569.10 and 101,693.64 is: 140,320.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,604.90 : 210,569.10 = 101,693.64 : x
  2. Step 2: Convert to fraction form
    152,604.90/210,569.10 = 101,693.64/x
  3. Step 3: Cross multiply
    152,604.90x = 210,569.10 × 101,693.64
  4. Step 4: Simplify right side
    152,604.90x = 21,413,538,250.52
  5. Step 5: Solve for x
    x = 21,413,538,250.52/152,604.90
  6. Step 6: Final answer
    x = 140,320.12

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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.