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Finding the Fourth Proportional to 151,295.29, 208,717.41 and 97,597.61

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Solution

The fourth proportional to 151,295.29, 208,717.41 and 97,597.61 is: 134,639.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,295.29 : 208,717.41 = 97,597.61 : x
  2. Step 2: Convert to fraction form
    151,295.29/208,717.41 = 97,597.61/x
  3. Step 3: Cross multiply
    151,295.29x = 208,717.41 × 97,597.61
  4. Step 4: Simplify right side
    151,295.29x = 20,370,319,937.50
  5. Step 5: Solve for x
    x = 20,370,319,937.50/151,295.29
  6. Step 6: Final answer
    x = 134,639.48

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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.