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Finding the Fourth Proportional to 308,204.16, 425,330.16 and 174,068.16

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Solution

The fourth proportional to 308,204.16, 425,330.16 and 174,068.16 is: 240,218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,204.16 : 425,330.16 = 174,068.16 : x
  2. Step 2: Convert to fraction form
    308,204.16/425,330.16 = 174,068.16/x
  3. Step 3: Cross multiply
    308,204.16x = 425,330.16 × 174,068.16
  4. Step 4: Simplify right side
    308,204.16x = 74,036,438,343.71
  5. Step 5: Solve for x
    x = 74,036,438,343.71/308,204.16
  6. Step 6: Final answer
    x = 240,218.82

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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.