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Finding the Fourth Proportional to 194,752.12, 292,128.18 and 47,008.12

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Solution

The fourth proportional to 194,752.12, 292,128.18 and 47,008.12 is: 70,512.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,752.12 : 292,128.18 = 47,008.12 : x
  2. Step 2: Convert to fraction form
    194,752.12/292,128.18 = 47,008.12/x
  3. Step 3: Cross multiply
    194,752.12x = 292,128.18 × 47,008.12
  4. Step 4: Simplify right side
    194,752.12x = 13,732,395,810.50
  5. Step 5: Solve for x
    x = 13,732,395,810.50/194,752.12
  6. Step 6: Final answer
    x = 70,512.18

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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.