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Finding the Fourth Proportional to 233,959.02, 350,963.14 and 76,199.78

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Solution

The fourth proportional to 233,959.02, 350,963.14 and 76,199.78 is: 114,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,959.02 : 350,963.14 = 76,199.78 : x
  2. Step 2: Convert to fraction form
    233,959.02/350,963.14 = 76,199.78/x
  3. Step 3: Cross multiply
    233,959.02x = 350,963.14 × 76,199.78
  4. Step 4: Simplify right side
    233,959.02x = 26,743,314,056.11
  5. Step 5: Solve for x
    x = 26,743,314,056.11/233,959.02
  6. Step 6: Final answer
    x = 114,307.69

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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.