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Finding the Fourth Proportional to 207,297.96, 310,813.92 and 99,182.76

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Solution

The fourth proportional to 207,297.96, 310,813.92 and 99,182.76 is: 148,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,297.96 : 310,813.92 = 99,182.76 : x
  2. Step 2: Convert to fraction form
    207,297.96/310,813.92 = 99,182.76/x
  3. Step 3: Cross multiply
    207,297.96x = 310,813.92 × 99,182.76
  4. Step 4: Simplify right side
    207,297.96x = 30,827,382,432.02
  5. Step 5: Solve for x
    x = 30,827,382,432.02/207,297.96
  6. Step 6: Final answer
    x = 148,710.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.