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Finding the Fourth Proportional to 145,113.60, 200,298.64 and 87,753

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Solution

The fourth proportional to 145,113.60, 200,298.64 and 87,753 is: 121,124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,113.60 : 200,298.64 = 87,753 : x
  2. Step 2: Convert to fraction form
    145,113.60/200,298.64 = 87,753/x
  3. Step 3: Cross multiply
    145,113.60x = 200,298.64 × 87,753
  4. Step 4: Simplify right side
    145,113.60x = 17,576,806,555.92
  5. Step 5: Solve for x
    x = 17,576,806,555.92/145,113.60
  6. Step 6: Final answer
    x = 121,124.46

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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.