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Finding the Fourth Proportional to 233,460.76, 350,366.34 and 165,984.28

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Solution

The fourth proportional to 233,460.76, 350,366.34 and 165,984.28 is: 249,100.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,460.76 : 350,366.34 = 165,984.28 : x
  2. Step 2: Convert to fraction form
    233,460.76/350,366.34 = 165,984.28/x
  3. Step 3: Cross multiply
    233,460.76x = 350,366.34 × 165,984.28
  4. Step 4: Simplify right side
    233,460.76x = 58,155,304,681.14
  5. Step 5: Solve for x
    x = 58,155,304,681.14/233,460.76
  6. Step 6: Final answer
    x = 249,100.98

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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.