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Finding the Fourth Proportional to 233,232.42, 349,762.95 and 83,432.10

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Solution

The fourth proportional to 233,232.42, 349,762.95 and 83,432.10 is: 125,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,232.42 : 349,762.95 = 83,432.10 : x
  2. Step 2: Convert to fraction form
    233,232.42/349,762.95 = 83,432.10/x
  3. Step 3: Cross multiply
    233,232.42x = 349,762.95 × 83,432.10
  4. Step 4: Simplify right side
    233,232.42x = 29,181,457,420.70
  5. Step 5: Solve for x
    x = 29,181,457,420.70/233,232.42
  6. Step 6: Final answer
    x = 125,117.50

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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.