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Finding the Fourth Proportional to 125,795.40, 188,838.90 and 75,931.80

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Solution

The fourth proportional to 125,795.40, 188,838.90 and 75,931.80 is: 113,985.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,795.40 : 188,838.90 = 75,931.80 : x
  2. Step 2: Convert to fraction form
    125,795.40/188,838.90 = 75,931.80/x
  3. Step 3: Cross multiply
    125,795.40x = 188,838.90 × 75,931.80
  4. Step 4: Simplify right side
    125,795.40x = 14,338,877,587.02
  5. Step 5: Solve for x
    x = 14,338,877,587.02/125,795.40
  6. Step 6: Final answer
    x = 113,985.71

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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.