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Finding the Fourth Proportional to 157,173.80, 235,817.54 and 97,132

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Solution

The fourth proportional to 157,173.80, 235,817.54 and 97,132 is: 145,733.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,173.80 : 235,817.54 = 97,132 : x
  2. Step 2: Convert to fraction form
    157,173.80/235,817.54 = 97,132/x
  3. Step 3: Cross multiply
    157,173.80x = 235,817.54 × 97,132
  4. Step 4: Simplify right side
    157,173.80x = 22,905,429,295.28
  5. Step 5: Solve for x
    x = 22,905,429,295.28/157,173.80
  6. Step 6: Final answer
    x = 145,733.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.