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Finding the Fourth Proportional to 232,775.79, 349,156.75 and 64,306.25

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Solution

The fourth proportional to 232,775.79, 349,156.75 and 64,306.25 is: 96,457.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,775.79 : 349,156.75 = 64,306.25 : x
  2. Step 2: Convert to fraction form
    232,775.79/349,156.75 = 64,306.25/x
  3. Step 3: Cross multiply
    232,775.79x = 349,156.75 × 64,306.25
  4. Step 4: Simplify right side
    232,775.79x = 22,452,961,254.69
  5. Step 5: Solve for x
    x = 22,452,961,254.69/232,775.79
  6. Step 6: Final answer
    x = 96,457.46

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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.