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Finding the Fourth Proportional to 230,643.06, 345,938.85 and 62,180.16

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Solution

The fourth proportional to 230,643.06, 345,938.85 and 62,180.16 is: 93,263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,643.06 : 345,938.85 = 62,180.16 : x
  2. Step 2: Convert to fraction form
    230,643.06/345,938.85 = 62,180.16/x
  3. Step 3: Cross multiply
    230,643.06x = 345,938.85 × 62,180.16
  4. Step 4: Simplify right side
    230,643.06x = 21,510,533,043.22
  5. Step 5: Solve for x
    x = 21,510,533,043.22/230,643.06
  6. Step 6: Final answer
    x = 93,263.30

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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.