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Finding the Fourth Proportional to 114,306.42, 157,742.61 and 64,005.42

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Solution

The fourth proportional to 114,306.42, 157,742.61 and 64,005.42 is: 88,327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,306.42 : 157,742.61 = 64,005.42 : x
  2. Step 2: Convert to fraction form
    114,306.42/157,742.61 = 64,005.42/x
  3. Step 3: Cross multiply
    114,306.42x = 157,742.61 × 64,005.42
  4. Step 4: Simplify right side
    114,306.42x = 10,096,382,004.95
  5. Step 5: Solve for x
    x = 10,096,382,004.95/114,306.42
  6. Step 6: Final answer
    x = 88,327.34

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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.