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Finding the Fourth Proportional to 233,146.60, 349,719.90 and 207,777.40

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Solution

The fourth proportional to 233,146.60, 349,719.90 and 207,777.40 is: 311,666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,146.60 : 349,719.90 = 207,777.40 : x
  2. Step 2: Convert to fraction form
    233,146.60/349,719.90 = 207,777.40/x
  3. Step 3: Cross multiply
    233,146.60x = 349,719.90 × 207,777.40
  4. Step 4: Simplify right side
    233,146.60x = 72,663,891,550.26
  5. Step 5: Solve for x
    x = 72,663,891,550.26/233,146.60
  6. Step 6: Final answer
    x = 311,666.10

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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.