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Finding the Fourth Proportional to 105,756.63, 158,551.76 and 52,411.95

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Solution

The fourth proportional to 105,756.63, 158,551.76 and 52,411.95 is: 78,576.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,756.63 : 158,551.76 = 52,411.95 : x
  2. Step 2: Convert to fraction form
    105,756.63/158,551.76 = 52,411.95/x
  3. Step 3: Cross multiply
    105,756.63x = 158,551.76 × 52,411.95
  4. Step 4: Simplify right side
    105,756.63x = 8,310,006,655.47
  5. Step 5: Solve for x
    x = 8,310,006,655.47/105,756.63
  6. Step 6: Final answer
    x = 78,576.70

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Why These Related Problems?

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