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Finding the Fourth Proportional to 114,349.88, 157,802.84 and 69,637.88

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Solution

The fourth proportional to 114,349.88, 157,802.84 and 69,637.88 is: 96,100.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,349.88 : 157,802.84 = 69,637.88 : x
  2. Step 2: Convert to fraction form
    114,349.88/157,802.84 = 69,637.88/x
  3. Step 3: Cross multiply
    114,349.88x = 157,802.84 × 69,637.88
  4. Step 4: Simplify right side
    114,349.88x = 10,989,054,098.38
  5. Step 5: Solve for x
    x = 10,989,054,098.38/114,349.88
  6. Step 6: Final answer
    x = 96,100.27

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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.