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Finding the Fourth Proportional to 274,752, 412,301.12 and 116,980.16

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Solution

The fourth proportional to 274,752, 412,301.12 and 116,980.16 is: 175,543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,752 : 412,301.12 = 116,980.16 : x
  2. Step 2: Convert to fraction form
    274,752/412,301.12 = 116,980.16/x
  3. Step 3: Cross multiply
    274,752x = 412,301.12 × 116,980.16
  4. Step 4: Simplify right side
    274,752x = 48,231,050,985.78
  5. Step 5: Solve for x
    x = 48,231,050,985.78/274,752
  6. Step 6: Final answer
    x = 175,543.95

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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.