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Finding the Fourth Proportional to 233,020.80, 321,602.40 and 148,262.40

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Solution

The fourth proportional to 233,020.80, 321,602.40 and 148,262.40 is: 204,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,020.80 : 321,602.40 = 148,262.40 : x
  2. Step 2: Convert to fraction form
    233,020.80/321,602.40 = 148,262.40/x
  3. Step 3: Cross multiply
    233,020.80x = 321,602.40 × 148,262.40
  4. Step 4: Simplify right side
    233,020.80x = 47,681,543,669.76
  5. Step 5: Solve for x
    x = 47,681,543,669.76/233,020.80
  6. Step 6: Final answer
    x = 204,623.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.