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Finding the Fourth Proportional to 125,706.12, 188,530.02 and 46,857.48

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Solution

The fourth proportional to 125,706.12, 188,530.02 and 46,857.48 is: 70,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,706.12 : 188,530.02 = 46,857.48 : x
  2. Step 2: Convert to fraction form
    125,706.12/188,530.02 = 46,857.48/x
  3. Step 3: Cross multiply
    125,706.12x = 188,530.02 × 46,857.48
  4. Step 4: Simplify right side
    125,706.12x = 8,834,041,641.55
  5. Step 5: Solve for x
    x = 8,834,041,641.55/125,706.12
  6. Step 6: Final answer
    x = 70,275.35

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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.