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Finding the Fourth Proportional to 103,444, 142,752.72 and 56,340

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Solution

The fourth proportional to 103,444, 142,752.72 and 56,340 is: 77,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,444 : 142,752.72 = 56,340 : x
  2. Step 2: Convert to fraction form
    103,444/142,752.72 = 56,340/x
  3. Step 3: Cross multiply
    103,444x = 142,752.72 × 56,340
  4. Step 4: Simplify right side
    103,444x = 8,042,688,244.80
  5. Step 5: Solve for x
    x = 8,042,688,244.80/103,444
  6. Step 6: Final answer
    x = 77,749.20

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