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Finding the Fourth Proportional to 102,065.22, 153,063.81 and 42,889.86

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Solution

The fourth proportional to 102,065.22, 153,063.81 and 42,889.86 is: 64,320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,065.22 : 153,063.81 = 42,889.86 : x
  2. Step 2: Convert to fraction form
    102,065.22/153,063.81 = 42,889.86/x
  3. Step 3: Cross multiply
    102,065.22x = 153,063.81 × 42,889.86
  4. Step 4: Simplify right side
    102,065.22x = 6,564,885,381.97
  5. Step 5: Solve for x
    x = 6,564,885,381.97/102,065.22
  6. Step 6: Final answer
    x = 64,320.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.