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Finding the Fourth Proportional to 282,753.60, 390,199.86 and 155,429.16

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Solution

The fourth proportional to 282,753.60, 390,199.86 and 155,429.16 is: 214,492.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,753.60 : 390,199.86 = 155,429.16 : x
  2. Step 2: Convert to fraction form
    282,753.60/390,199.86 = 155,429.16/x
  3. Step 3: Cross multiply
    282,753.60x = 390,199.86 × 155,429.16
  4. Step 4: Simplify right side
    282,753.60x = 60,648,436,471.92
  5. Step 5: Solve for x
    x = 60,648,436,471.92/282,753.60
  6. Step 6: Final answer
    x = 214,492.18

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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.