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Finding the Fourth Proportional to 125,707.12, 188,531.52 and 46,858.48

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Solution

The fourth proportional to 125,707.12, 188,531.52 and 46,858.48 is: 70,276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,707.12 : 188,531.52 = 46,858.48 : x
  2. Step 2: Convert to fraction form
    125,707.12/188,531.52 = 46,858.48/x
  3. Step 3: Cross multiply
    125,707.12x = 188,531.52 × 46,858.48
  4. Step 4: Simplify right side
    125,707.12x = 8,834,300,459.29
  5. Step 5: Solve for x
    x = 8,834,300,459.29/125,707.12
  6. Step 6: Final answer
    x = 70,276.85

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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.