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Finding the Fourth Proportional to 177,248.56, 265,924.32 and 57,302.95

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Solution

The fourth proportional to 177,248.56, 265,924.32 and 57,302.95 is: 85,971.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,248.56 : 265,924.32 = 57,302.95 : x
  2. Step 2: Convert to fraction form
    177,248.56/265,924.32 = 57,302.95/x
  3. Step 3: Cross multiply
    177,248.56x = 265,924.32 × 57,302.95
  4. Step 4: Simplify right side
    177,248.56x = 15,238,248,012.74
  5. Step 5: Solve for x
    x = 15,238,248,012.74/177,248.56
  6. Step 6: Final answer
    x = 85,971.07

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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.