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Finding the Fourth Proportional to 213,053.60, 319,580.40 and 79,938.20

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Solution

The fourth proportional to 213,053.60, 319,580.40 and 79,938.20 is: 119,907.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,053.60 : 319,580.40 = 79,938.20 : x
  2. Step 2: Convert to fraction form
    213,053.60/319,580.40 = 79,938.20/x
  3. Step 3: Cross multiply
    213,053.60x = 319,580.40 × 79,938.20
  4. Step 4: Simplify right side
    213,053.60x = 25,546,681,931.28
  5. Step 5: Solve for x
    x = 25,546,681,931.28/213,053.60
  6. Step 6: Final answer
    x = 119,907.30

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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.