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Finding the Fourth Proportional to 114,369.53, 157,829.97 and 64,068.53

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Solution

The fourth proportional to 114,369.53, 157,829.97 and 64,068.53 is: 88,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,369.53 : 157,829.97 = 64,068.53 : x
  2. Step 2: Convert to fraction form
    114,369.53/157,829.97 = 64,068.53/x
  3. Step 3: Cross multiply
    114,369.53x = 157,829.97 × 64,068.53
  4. Step 4: Simplify right side
    114,369.53x = 10,111,934,167.84
  5. Step 5: Solve for x
    x = 10,111,934,167.84/114,369.53
  6. Step 6: Final answer
    x = 88,414.58

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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.