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Finding the Fourth Proportional to 230,123.77, 317,494.69 and 134,562.81

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Solution

The fourth proportional to 230,123.77, 317,494.69 and 134,562.81 is: 185,652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,123.77 : 317,494.69 = 134,562.81 : x
  2. Step 2: Convert to fraction form
    230,123.77/317,494.69 = 134,562.81/x
  3. Step 3: Cross multiply
    230,123.77x = 317,494.69 × 134,562.81
  4. Step 4: Simplify right side
    230,123.77x = 42,722,977,646.48
  5. Step 5: Solve for x
    x = 42,722,977,646.48/230,123.77
  6. Step 6: Final answer
    x = 185,652.17

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1.5x scale

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.