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Finding the Fourth Proportional to 102,567.40, 141,543.08 and 56,627.08

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Solution

The fourth proportional to 102,567.40, 141,543.08 and 56,627.08 is: 78,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,567.40 : 141,543.08 = 56,627.08 : x
  2. Step 2: Convert to fraction form
    102,567.40/141,543.08 = 56,627.08/x
  3. Step 3: Cross multiply
    102,567.40x = 141,543.08 × 56,627.08
  4. Step 4: Simplify right side
    102,567.40x = 8,015,171,314.61
  5. Step 5: Solve for x
    x = 8,015,171,314.61/102,567.40
  6. Step 6: Final answer
    x = 78,145.41

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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.