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Finding the Fourth Proportional to 171,582, 257,309.76 and 59,233.52

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Solution

The fourth proportional to 171,582, 257,309.76 and 59,233.52 is: 88,828.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,582 : 257,309.76 = 59,233.52 : x
  2. Step 2: Convert to fraction form
    171,582/257,309.76 = 59,233.52/x
  3. Step 3: Cross multiply
    171,582x = 257,309.76 × 59,233.52
  4. Step 4: Simplify right side
    171,582x = 15,241,362,815.16
  5. Step 5: Solve for x
    x = 15,241,362,815.16/171,582
  6. Step 6: Final answer
    x = 88,828.45

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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.