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Finding the Fourth Proportional to 191,966.70, 287,820.45 and 102,024.30

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Solution

The fourth proportional to 191,966.70, 287,820.45 and 102,024.30 is: 152,967.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,966.70 : 287,820.45 = 102,024.30 : x
  2. Step 2: Convert to fraction form
    191,966.70/287,820.45 = 102,024.30/x
  3. Step 3: Cross multiply
    191,966.70x = 287,820.45 × 102,024.30
  4. Step 4: Simplify right side
    191,966.70x = 29,364,679,936.94
  5. Step 5: Solve for x
    x = 29,364,679,936.94/191,966.70
  6. Step 6: Final answer
    x = 152,967.57

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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.