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Finding the Fourth Proportional to 162,014.53, 223,414.13 and 107,547.48

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Solution

The fourth proportional to 162,014.53, 223,414.13 and 107,547.48 is: 148,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,014.53 : 223,414.13 = 107,547.48 : x
  2. Step 2: Convert to fraction form
    162,014.53/223,414.13 = 107,547.48/x
  3. Step 3: Cross multiply
    162,014.53x = 223,414.13 × 107,547.48
  4. Step 4: Simplify right side
    162,014.53x = 24,027,626,677.89
  5. Step 5: Solve for x
    x = 24,027,626,677.89/162,014.53
  6. Step 6: Final answer
    x = 148,305.39

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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.