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Finding the Fourth Proportional to 129,412, 178,569.12 and 72,822.16

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Solution

The fourth proportional to 129,412, 178,569.12 and 72,822.16 is: 100,483.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,412 : 178,569.12 = 72,822.16 : x
  2. Step 2: Convert to fraction form
    129,412/178,569.12 = 72,822.16/x
  3. Step 3: Cross multiply
    129,412x = 178,569.12 × 72,822.16
  4. Step 4: Simplify right side
    129,412x = 13,003,789,027.70
  5. Step 5: Solve for x
    x = 13,003,789,027.70/129,412
  6. Step 6: Final answer
    x = 100,483.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.