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Finding the Fourth Proportional to 157,355.18, 235,803.81 and 97,255.34

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Solution

The fourth proportional to 157,355.18, 235,803.81 and 97,255.34 is: 145,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,355.18 : 235,803.81 = 97,255.34 : x
  2. Step 2: Convert to fraction form
    157,355.18/235,803.81 = 97,255.34/x
  3. Step 3: Cross multiply
    157,355.18x = 235,803.81 × 97,255.34
  4. Step 4: Simplify right side
    157,355.18x = 22,933,179,714.85
  5. Step 5: Solve for x
    x = 22,933,179,714.85/157,355.18
  6. Step 6: Final answer
    x = 145,741.50

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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.