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Finding the Fourth Proportional to 145,225.66, 200,401.54 and 81,562.10

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Solution

The fourth proportional to 145,225.66, 200,401.54 and 81,562.10 is: 112,550.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,225.66 : 200,401.54 = 81,562.10 : x
  2. Step 2: Convert to fraction form
    145,225.66/200,401.54 = 81,562.10/x
  3. Step 3: Cross multiply
    145,225.66x = 200,401.54 × 81,562.10
  4. Step 4: Simplify right side
    145,225.66x = 16,345,170,445.63
  5. Step 5: Solve for x
    x = 16,345,170,445.63/145,225.66
  6. Step 6: Final answer
    x = 112,550.15

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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.