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Finding the Fourth Proportional to 109,874.66, 164,818.43 and 42,407.06

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Solution

The fourth proportional to 109,874.66, 164,818.43 and 42,407.06 is: 63,613.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,874.66 : 164,818.43 = 42,407.06 : x
  2. Step 2: Convert to fraction form
    109,874.66/164,818.43 = 42,407.06/x
  3. Step 3: Cross multiply
    109,874.66x = 164,818.43 × 42,407.06
  4. Step 4: Simplify right side
    109,874.66x = 6,989,465,050.12
  5. Step 5: Solve for x
    x = 6,989,465,050.12/109,874.66
  6. Step 6: Final answer
    x = 63,613.08

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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.