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Finding the Fourth Proportional to 185,154.80, 277,746.72 and 52,046

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Solution

The fourth proportional to 185,154.80, 277,746.72 and 52,046 is: 78,073.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,154.80 : 277,746.72 = 52,046 : x
  2. Step 2: Convert to fraction form
    185,154.80/277,746.72 = 52,046/x
  3. Step 3: Cross multiply
    185,154.80x = 277,746.72 × 52,046
  4. Step 4: Simplify right side
    185,154.80x = 14,455,605,789.12
  5. Step 5: Solve for x
    x = 14,455,605,789.12/185,154.80
  6. Step 6: Final answer
    x = 78,073.08

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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.