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Finding the Fourth Proportional to 92,283.96, 138,311.73 and 65,587.40

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Solution

The fourth proportional to 92,283.96, 138,311.73 and 65,587.40 is: 98,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,283.96 : 138,311.73 = 65,587.40 : x
  2. Step 2: Convert to fraction form
    92,283.96/138,311.73 = 65,587.40/x
  3. Step 3: Cross multiply
    92,283.96x = 138,311.73 × 65,587.40
  4. Step 4: Simplify right side
    92,283.96x = 9,071,506,068.64
  5. Step 5: Solve for x
    x = 9,071,506,068.64/92,283.96
  6. Step 6: Final answer
    x = 98,299.92

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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.