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Finding the Fourth Proportional to 114,111.88, 157,421.33 and 73,838.64

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Solution

The fourth proportional to 114,111.88, 157,421.33 and 73,838.64 is: 101,862.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,111.88 : 157,421.33 = 73,838.64 : x
  2. Step 2: Convert to fraction form
    114,111.88/157,421.33 = 73,838.64/x
  3. Step 3: Cross multiply
    114,111.88x = 157,421.33 × 73,838.64
  4. Step 4: Simplify right side
    114,111.88x = 11,623,776,545.00
  5. Step 5: Solve for x
    x = 11,623,776,545.00/114,111.88
  6. Step 6: Final answer
    x = 101,862.99

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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.