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Finding the Fourth Proportional to 170,155.44, 255,228.24 and 51,821.76

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Solution

The fourth proportional to 170,155.44, 255,228.24 and 51,821.76 is: 77,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,155.44 : 255,228.24 = 51,821.76 : x
  2. Step 2: Convert to fraction form
    170,155.44/255,228.24 = 51,821.76/x
  3. Step 3: Cross multiply
    170,155.44x = 255,228.24 × 51,821.76
  4. Step 4: Simplify right side
    170,155.44x = 13,226,376,598.50
  5. Step 5: Solve for x
    x = 13,226,376,598.50/170,155.44
  6. Step 6: Final answer
    x = 77,731.14

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1.5x scale

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.