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Finding the Fourth Proportional to 232,902.95, 349,334.95 and 64,425.35

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Solution

The fourth proportional to 232,902.95, 349,334.95 and 64,425.35 is: 96,632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,902.95 : 349,334.95 = 64,425.35 : x
  2. Step 2: Convert to fraction form
    232,902.95/349,334.95 = 64,425.35/x
  3. Step 3: Cross multiply
    232,902.95x = 349,334.95 × 64,425.35
  4. Step 4: Simplify right side
    232,902.95x = 22,506,027,133.26
  5. Step 5: Solve for x
    x = 22,506,027,133.26/232,902.95
  6. Step 6: Final answer
    x = 96,632.64

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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.