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Finding the Fourth Proportional to 233,657.46, 322,453.98 and 130,294.04

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Solution

The fourth proportional to 233,657.46, 322,453.98 and 130,294.04 is: 179,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,657.46 : 322,453.98 = 130,294.04 : x
  2. Step 2: Convert to fraction form
    233,657.46/322,453.98 = 130,294.04/x
  3. Step 3: Cross multiply
    233,657.46x = 322,453.98 × 130,294.04
  4. Step 4: Simplify right side
    233,657.46x = 42,013,831,768.28
  5. Step 5: Solve for x
    x = 42,013,831,768.28/233,657.46
  6. Step 6: Final answer
    x = 179,809.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.