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Finding the Fourth Proportional to 195,033.32, 292,560 and 54,802.88

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Solution

The fourth proportional to 195,033.32, 292,560 and 54,802.88 is: 82,207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,033.32 : 292,560 = 54,802.88 : x
  2. Step 2: Convert to fraction form
    195,033.32/292,560 = 54,802.88/x
  3. Step 3: Cross multiply
    195,033.32x = 292,560 × 54,802.88
  4. Step 4: Simplify right side
    195,033.32x = 16,033,130,572.80
  5. Step 5: Solve for x
    x = 16,033,130,572.80/195,033.32
  6. Step 6: Final answer
    x = 82,207.14

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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.