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Finding the Fourth Proportional to 102,500.40, 153,779.40 and 49,911.60

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Solution

The fourth proportional to 102,500.40, 153,779.40 and 49,911.60 is: 74,881.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,500.40 : 153,779.40 = 49,911.60 : x
  2. Step 2: Convert to fraction form
    102,500.40/153,779.40 = 49,911.60/x
  3. Step 3: Cross multiply
    102,500.40x = 153,779.40 × 49,911.60
  4. Step 4: Simplify right side
    102,500.40x = 7,675,375,901.04
  5. Step 5: Solve for x
    x = 7,675,375,901.04/102,500.40
  6. Step 6: Final answer
    x = 74,881.42

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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.