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Finding the Fourth Proportional to 114,424.72, 157,897.50 and 64,114

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Solution

The fourth proportional to 114,424.72, 157,897.50 and 64,114 is: 88,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,424.72 : 157,897.50 = 64,114 : x
  2. Step 2: Convert to fraction form
    114,424.72/157,897.50 = 64,114/x
  3. Step 3: Cross multiply
    114,424.72x = 157,897.50 × 64,114
  4. Step 4: Simplify right side
    114,424.72x = 10,123,440,315
  5. Step 5: Solve for x
    x = 10,123,440,315/114,424.72
  6. Step 6: Final answer
    x = 88,472.49

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