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Finding the Fourth Proportional to 185,841.70, 278,762.55 and 156,973.30

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Solution

The fourth proportional to 185,841.70, 278,762.55 and 156,973.30 is: 235,459.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,841.70 : 278,762.55 = 156,973.30 : x
  2. Step 2: Convert to fraction form
    185,841.70/278,762.55 = 156,973.30/x
  3. Step 3: Cross multiply
    185,841.70x = 278,762.55 × 156,973.30
  4. Step 4: Simplify right side
    185,841.70x = 43,758,277,389.92
  5. Step 5: Solve for x
    x = 43,758,277,389.92/185,841.70
  6. Step 6: Final answer
    x = 235,459.95

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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.