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Finding the Fourth Proportional to 97,300.24, 145,951.80 and 64,232.08

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Solution

The fourth proportional to 97,300.24, 145,951.80 and 64,232.08 is: 96,349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,300.24 : 145,951.80 = 64,232.08 : x
  2. Step 2: Convert to fraction form
    97,300.24/145,951.80 = 64,232.08/x
  3. Step 3: Cross multiply
    97,300.24x = 145,951.80 × 64,232.08
  4. Step 4: Simplify right side
    97,300.24x = 9,374,787,693.74
  5. Step 5: Solve for x
    x = 9,374,787,693.74/97,300.24
  6. Step 6: Final answer
    x = 96,349.07

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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.