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Finding the Fourth Proportional to 102,932, 153,273.28 and 99,148.80

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Solution

The fourth proportional to 102,932, 153,273.28 and 99,148.80 is: 147,639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,932 : 153,273.28 = 99,148.80 : x
  2. Step 2: Convert to fraction form
    102,932/153,273.28 = 99,148.80/x
  3. Step 3: Cross multiply
    102,932x = 153,273.28 × 99,148.80
  4. Step 4: Simplify right side
    102,932x = 15,196,861,784.06
  5. Step 5: Solve for x
    x = 15,196,861,784.06/102,932
  6. Step 6: Final answer
    x = 147,639.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.