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Finding the Fourth Proportional to 114,248.34, 157,643.91 and 71,776.62

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Solution

The fourth proportional to 114,248.34, 157,643.91 and 71,776.62 is: 99,039.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,248.34 : 157,643.91 = 71,776.62 : x
  2. Step 2: Convert to fraction form
    114,248.34/157,643.91 = 71,776.62/x
  3. Step 3: Cross multiply
    114,248.34x = 157,643.91 × 71,776.62
  4. Step 4: Simplify right side
    114,248.34x = 11,315,147,023.38
  5. Step 5: Solve for x
    x = 11,315,147,023.38/114,248.34
  6. Step 6: Final answer
    x = 99,039.92

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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.