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Finding the Fourth Proportional to 125,913.40, 188,697.30 and 102,585.40

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Solution

The fourth proportional to 125,913.40, 188,697.30 and 102,585.40 is: 153,737.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,913.40 : 188,697.30 = 102,585.40 : x
  2. Step 2: Convert to fraction form
    125,913.40/188,697.30 = 102,585.40/x
  3. Step 3: Cross multiply
    125,913.40x = 188,697.30 × 102,585.40
  4. Step 4: Simplify right side
    125,913.40x = 19,357,587,999.42
  5. Step 5: Solve for x
    x = 19,357,587,999.42/125,913.40
  6. Step 6: Final answer
    x = 153,737.31

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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.