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Finding the Fourth Proportional to 280,875.81, 387,580.76 and 160,009.90

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Solution

The fourth proportional to 280,875.81, 387,580.76 and 160,009.90 is: 220,797.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,875.81 : 387,580.76 = 160,009.90 : x
  2. Step 2: Convert to fraction form
    280,875.81/387,580.76 = 160,009.90/x
  3. Step 3: Cross multiply
    280,875.81x = 387,580.76 × 160,009.90
  4. Step 4: Simplify right side
    280,875.81x = 62,016,758,649.52
  5. Step 5: Solve for x
    x = 62,016,758,649.52/280,875.81
  6. Step 6: Final answer
    x = 220,797.79

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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.