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Finding the Fourth Proportional to 177,155, 265,776.24 and 52,496

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Solution

The fourth proportional to 177,155, 265,776.24 and 52,496 is: 78,756.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,155 : 265,776.24 = 52,496 : x
  2. Step 2: Convert to fraction form
    177,155/265,776.24 = 52,496/x
  3. Step 3: Cross multiply
    177,155x = 265,776.24 × 52,496
  4. Step 4: Simplify right side
    177,155x = 13,952,189,495.04
  5. Step 5: Solve for x
    x = 13,952,189,495.04/177,155
  6. Step 6: Final answer
    x = 78,756.96

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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.