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Finding the Fourth Proportional to 284,398.08, 426,594.96 and 118,186.08

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Solution

The fourth proportional to 284,398.08, 426,594.96 and 118,186.08 is: 177,278.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,398.08 : 426,594.96 = 118,186.08 : x
  2. Step 2: Convert to fraction form
    284,398.08/426,594.96 = 118,186.08/x
  3. Step 3: Cross multiply
    284,398.08x = 426,594.96 × 118,186.08
  4. Step 4: Simplify right side
    284,398.08x = 50,417,586,070.16
  5. Step 5: Solve for x
    x = 50,417,586,070.16/284,398.08
  6. Step 6: Final answer
    x = 177,278.22

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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.