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Finding the Fourth Proportional to 177,073, 265,661.52 and 52,417.24

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Solution

The fourth proportional to 177,073, 265,661.52 and 52,417.24 is: 78,641.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,073 : 265,661.52 = 52,417.24 : x
  2. Step 2: Convert to fraction form
    177,073/265,661.52 = 52,417.24/x
  3. Step 3: Cross multiply
    177,073x = 265,661.52 × 52,417.24
  4. Step 4: Simplify right side
    177,073x = 13,925,243,652.60
  5. Step 5: Solve for x
    x = 13,925,243,652.60/177,073
  6. Step 6: Final answer
    x = 78,641.26

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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.