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Finding the Fourth Proportional to 125,792.16, 188,719.92 and 46,908.96

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Solution

The fourth proportional to 125,792.16, 188,719.92 and 46,908.96 is: 70,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,792.16 : 188,719.92 = 46,908.96 : x
  2. Step 2: Convert to fraction form
    125,792.16/188,719.92 = 46,908.96/x
  3. Step 3: Cross multiply
    125,792.16x = 188,719.92 × 46,908.96
  4. Step 4: Simplify right side
    125,792.16x = 8,852,655,178.48
  5. Step 5: Solve for x
    x = 8,852,655,178.48/125,792.16
  6. Step 6: Final answer
    x = 70,375.25

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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.