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Finding the Fourth Proportional to 157,447.98, 236,285.37 and 77,468.58

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Solution

The fourth proportional to 157,447.98, 236,285.37 and 77,468.58 is: 116,258.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,447.98 : 236,285.37 = 77,468.58 : x
  2. Step 2: Convert to fraction form
    157,447.98/236,285.37 = 77,468.58/x
  3. Step 3: Cross multiply
    157,447.98x = 236,285.37 × 77,468.58
  4. Step 4: Simplify right side
    157,447.98x = 18,304,692,088.67
  5. Step 5: Solve for x
    x = 18,304,692,088.67/157,447.98
  6. Step 6: Final answer
    x = 116,258.67

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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.