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Finding the Fourth Proportional to 213,139.60, 319,968.60 and 160,133.20

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Solution

The fourth proportional to 213,139.60, 319,968.60 and 160,133.20 is: 240,394.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,139.60 : 319,968.60 = 160,133.20 : x
  2. Step 2: Convert to fraction form
    213,139.60/319,968.60 = 160,133.20/x
  3. Step 3: Cross multiply
    213,139.60x = 319,968.60 × 160,133.20
  4. Step 4: Simplify right side
    213,139.60x = 51,237,595,817.52
  5. Step 5: Solve for x
    x = 51,237,595,817.52/213,139.60
  6. Step 6: Final answer
    x = 240,394.54

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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.