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Finding the Fourth Proportional to 206,731.60, 310,097.40 and 160,075.60

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Solution

The fourth proportional to 206,731.60, 310,097.40 and 160,075.60 is: 240,113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,731.60 : 310,097.40 = 160,075.60 : x
  2. Step 2: Convert to fraction form
    206,731.60/310,097.40 = 160,075.60/x
  3. Step 3: Cross multiply
    206,731.60x = 310,097.40 × 160,075.60
  4. Step 4: Simplify right side
    206,731.60x = 49,639,027,363.44
  5. Step 5: Solve for x
    x = 49,639,027,363.44/206,731.60
  6. Step 6: Final answer
    x = 240,113.40

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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.