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Finding the Fourth Proportional to 233,156.78, 349,735.14 and 64,677.14

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Solution

The fourth proportional to 233,156.78, 349,735.14 and 64,677.14 is: 97,015.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,156.78 : 349,735.14 = 64,677.14 : x
  2. Step 2: Convert to fraction form
    233,156.78/349,735.14 = 64,677.14/x
  3. Step 3: Cross multiply
    233,156.78x = 349,735.14 × 64,677.14
  4. Step 4: Simplify right side
    233,156.78x = 22,619,868,612.70
  5. Step 5: Solve for x
    x = 22,619,868,612.70/233,156.78
  6. Step 6: Final answer
    x = 97,015.70

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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.