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Finding the Fourth Proportional to 292,095.10, 437,818.65 and 114,543.10

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Solution

The fourth proportional to 292,095.10, 437,818.65 and 114,543.10 is: 171,687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,095.10 : 437,818.65 = 114,543.10 : x
  2. Step 2: Convert to fraction form
    292,095.10/437,818.65 = 114,543.10/x
  3. Step 3: Cross multiply
    292,095.10x = 437,818.65 × 114,543.10
  4. Step 4: Simplify right side
    292,095.10x = 50,149,105,408.82
  5. Step 5: Solve for x
    x = 50,149,105,408.82/292,095.10
  6. Step 6: Final answer
    x = 171,687.60

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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.