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Finding the Fourth Proportional to 213,009.60, 319,773.60 and 160,003.20

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Solution

The fourth proportional to 213,009.60, 319,773.60 and 160,003.20 is: 240,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,009.60 : 319,773.60 = 160,003.20 : x
  2. Step 2: Convert to fraction form
    213,009.60/319,773.60 = 160,003.20/x
  3. Step 3: Cross multiply
    213,009.60x = 319,773.60 × 160,003.20
  4. Step 4: Simplify right side
    213,009.60x = 51,164,799,275.52
  5. Step 5: Solve for x
    x = 51,164,799,275.52/213,009.60
  6. Step 6: Final answer
    x = 240,199.50

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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.