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Finding the Fourth Proportional to 213,902.80, 320,854.20 and 147,547.60

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Solution

The fourth proportional to 213,902.80, 320,854.20 and 147,547.60 is: 221,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,902.80 : 320,854.20 = 147,547.60 : x
  2. Step 2: Convert to fraction form
    213,902.80/320,854.20 = 147,547.60/x
  3. Step 3: Cross multiply
    213,902.80x = 320,854.20 × 147,547.60
  4. Step 4: Simplify right side
    213,902.80x = 47,341,267,159.92
  5. Step 5: Solve for x
    x = 47,341,267,159.92/213,902.80
  6. Step 6: Final answer
    x = 221,321.40

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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.