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Finding the Fourth Proportional to 127,416.16, 191,058.16 and 57,235.52

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Solution

The fourth proportional to 127,416.16, 191,058.16 and 57,235.52 is: 85,823.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,416.16 : 191,058.16 = 57,235.52 : x
  2. Step 2: Convert to fraction form
    127,416.16/191,058.16 = 57,235.52/x
  3. Step 3: Cross multiply
    127,416.16x = 191,058.16 × 57,235.52
  4. Step 4: Simplify right side
    127,416.16x = 10,935,313,137.84
  5. Step 5: Solve for x
    x = 10,935,313,137.84/127,416.16
  6. Step 6: Final answer
    x = 85,823.60

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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.