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Finding the Fourth Proportional to 144,646.74, 216,975.87 and 61,483.86

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Solution

The fourth proportional to 144,646.74, 216,975.87 and 61,483.86 is: 92,228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,646.74 : 216,975.87 = 61,483.86 : x
  2. Step 2: Convert to fraction form
    144,646.74/216,975.87 = 61,483.86/x
  3. Step 3: Cross multiply
    144,646.74x = 216,975.87 × 61,483.86
  4. Step 4: Simplify right side
    144,646.74x = 13,340,514,014.46
  5. Step 5: Solve for x
    x = 13,340,514,014.46/144,646.74
  6. Step 6: Final answer
    x = 92,228.24

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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.