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Finding the Fourth Proportional to 242,498.01, 334,647.96 and 140,543.28

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Solution

The fourth proportional to 242,498.01, 334,647.96 and 140,543.28 is: 193,950.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,498.01 : 334,647.96 = 140,543.28 : x
  2. Step 2: Convert to fraction form
    242,498.01/334,647.96 = 140,543.28/x
  3. Step 3: Cross multiply
    242,498.01x = 334,647.96 × 140,543.28
  4. Step 4: Simplify right side
    242,498.01x = 47,032,521,943.71
  5. Step 5: Solve for x
    x = 47,032,521,943.71/242,498.01
  6. Step 6: Final answer
    x = 193,950.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.