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Finding the Fourth Proportional to 162,202.68, 243,316.80 and 57,045.24

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Solution

The fourth proportional to 162,202.68, 243,316.80 and 57,045.24 is: 85,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,202.68 : 243,316.80 = 57,045.24 : x
  2. Step 2: Convert to fraction form
    162,202.68/243,316.80 = 57,045.24/x
  3. Step 3: Cross multiply
    162,202.68x = 243,316.80 × 57,045.24
  4. Step 4: Simplify right side
    162,202.68x = 13,880,065,252.03
  5. Step 5: Solve for x
    x = 13,880,065,252.03/162,202.68
  6. Step 6: Final answer
    x = 85,572.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.