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Finding the Fourth Proportional to 162,248.40, 243,194.40 and 57,013.20

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Solution

The fourth proportional to 162,248.40, 243,194.40 and 57,013.20 is: 85,457.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,248.40 : 243,194.40 = 57,013.20 : x
  2. Step 2: Convert to fraction form
    162,248.40/243,194.40 = 57,013.20/x
  3. Step 3: Cross multiply
    162,248.40x = 243,194.40 × 57,013.20
  4. Step 4: Simplify right side
    162,248.40x = 13,865,290,966.08
  5. Step 5: Solve for x
    x = 13,865,290,966.08/162,248.40
  6. Step 6: Final answer
    x = 85,457.18

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Why These Related Problems?

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