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Finding the Fourth Proportional to 262,071.70, 392,200.35 and 156,966.10

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Solution

The fourth proportional to 262,071.70, 392,200.35 and 156,966.10 is: 234,905.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,071.70 : 392,200.35 = 156,966.10 : x
  2. Step 2: Convert to fraction form
    262,071.70/392,200.35 = 156,966.10/x
  3. Step 3: Cross multiply
    262,071.70x = 392,200.35 × 156,966.10
  4. Step 4: Simplify right side
    262,071.70x = 61,562,159,358.14
  5. Step 5: Solve for x
    x = 61,562,159,358.14/262,071.70
  6. Step 6: Final answer
    x = 234,905.79

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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.