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Finding the Fourth Proportional to 195,801.30, 293,264.55 and 160,809.30

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Solution

The fourth proportional to 195,801.30, 293,264.55 and 160,809.30 is: 240,854.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,801.30 : 293,264.55 = 160,809.30 : x
  2. Step 2: Convert to fraction form
    195,801.30/293,264.55 = 160,809.30/x
  3. Step 3: Cross multiply
    195,801.30x = 293,264.55 × 160,809.30
  4. Step 4: Simplify right side
    195,801.30x = 47,159,667,000.32
  5. Step 5: Solve for x
    x = 47,159,667,000.32/195,801.30
  6. Step 6: Final answer
    x = 240,854.72

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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.