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Finding the Fourth Proportional to 157,935, 236,943.54 and 47,127

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Solution

The fourth proportional to 157,935, 236,943.54 and 47,127 is: 70,702.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,935 : 236,943.54 = 47,127 : x
  2. Step 2: Convert to fraction form
    157,935/236,943.54 = 47,127/x
  3. Step 3: Cross multiply
    157,935x = 236,943.54 × 47,127
  4. Step 4: Simplify right side
    157,935x = 11,166,438,209.58
  5. Step 5: Solve for x
    x = 11,166,438,209.58/157,935
  6. Step 6: Final answer
    x = 70,702.75

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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.