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Finding the Fourth Proportional to 262,047.70, 392,164.35 and 156,942.10

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Solution

The fourth proportional to 262,047.70, 392,164.35 and 156,942.10 is: 234,869.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,047.70 : 392,164.35 = 156,942.10 : x
  2. Step 2: Convert to fraction form
    262,047.70/392,164.35 = 156,942.10/x
  3. Step 3: Cross multiply
    262,047.70x = 392,164.35 × 156,942.10
  4. Step 4: Simplify right side
    262,047.70x = 61,547,096,634.14
  5. Step 5: Solve for x
    x = 61,547,096,634.14/262,047.70
  6. Step 6: Final answer
    x = 234,869.82

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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.