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Finding the Fourth Proportional to 114,534.76, 158,065.86 and 64,237

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Solution

The fourth proportional to 114,534.76, 158,065.86 and 64,237 is: 88,651.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,534.76 : 158,065.86 = 64,237 : x
  2. Step 2: Convert to fraction form
    114,534.76/158,065.86 = 64,237/x
  3. Step 3: Cross multiply
    114,534.76x = 158,065.86 × 64,237
  4. Step 4: Simplify right side
    114,534.76x = 10,153,676,648.82
  5. Step 5: Solve for x
    x = 10,153,676,648.82/114,534.76
  6. Step 6: Final answer
    x = 88,651.49

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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.