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Finding the Fourth Proportional to 160,854.76, 221,977.92 and 89,232.94

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Solution

The fourth proportional to 160,854.76, 221,977.92 and 89,232.94 is: 123,140.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,854.76 : 221,977.92 = 89,232.94 : x
  2. Step 2: Convert to fraction form
    160,854.76/221,977.92 = 89,232.94/x
  3. Step 3: Cross multiply
    160,854.76x = 221,977.92 × 89,232.94
  4. Step 4: Simplify right side
    160,854.76x = 19,807,742,416.68
  5. Step 5: Solve for x
    x = 19,807,742,416.68/160,854.76
  6. Step 6: Final answer
    x = 123,140.54

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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.