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Finding the Fourth Proportional to 96,530.40, 144,925.20 and 61,538.40

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Solution

The fourth proportional to 96,530.40, 144,925.20 and 61,538.40 is: 92,390.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,530.40 : 144,925.20 = 61,538.40 : x
  2. Step 2: Convert to fraction form
    96,530.40/144,925.20 = 61,538.40/x
  3. Step 3: Cross multiply
    96,530.40x = 144,925.20 × 61,538.40
  4. Step 4: Simplify right side
    96,530.40x = 8,918,464,927.68
  5. Step 5: Solve for x
    x = 8,918,464,927.68/96,530.40
  6. Step 6: Final answer
    x = 92,390.22

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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.