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Finding the Fourth Proportional to 114,148.72, 157,516.68 and 63,838

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Solution

The fourth proportional to 114,148.72, 157,516.68 and 63,838 is: 88,091.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,148.72 : 157,516.68 = 63,838 : x
  2. Step 2: Convert to fraction form
    114,148.72/157,516.68 = 63,838/x
  3. Step 3: Cross multiply
    114,148.72x = 157,516.68 × 63,838
  4. Step 4: Simplify right side
    114,148.72x = 10,055,549,817.84
  5. Step 5: Solve for x
    x = 10,055,549,817.84/114,148.72
  6. Step 6: Final answer
    x = 88,091.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.