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Finding the Fourth Proportional to 157,355.68, 235,804.56 and 97,255.84

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Solution

The fourth proportional to 157,355.68, 235,804.56 and 97,255.84 is: 145,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,355.68 : 235,804.56 = 97,255.84 : x
  2. Step 2: Convert to fraction form
    157,355.68/235,804.56 = 97,255.84/x
  3. Step 3: Cross multiply
    157,355.68x = 235,804.56 × 97,255.84
  4. Step 4: Simplify right side
    157,355.68x = 22,933,370,558.63
  5. Step 5: Solve for x
    x = 22,933,370,558.63/157,355.68
  6. Step 6: Final answer
    x = 145,742.25

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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.