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Finding the Fourth Proportional to 162,733.68, 224,381.16 and 130,442.40

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Solution

The fourth proportional to 162,733.68, 224,381.16 and 130,442.40 is: 179,857.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,733.68 : 224,381.16 = 130,442.40 : x
  2. Step 2: Convert to fraction form
    162,733.68/224,381.16 = 130,442.40/x
  3. Step 3: Cross multiply
    162,733.68x = 224,381.16 × 130,442.40
  4. Step 4: Simplify right side
    162,733.68x = 29,268,817,025.18
  5. Step 5: Solve for x
    x = 29,268,817,025.18/162,733.68
  6. Step 6: Final answer
    x = 179,857.16

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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.