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Finding the Fourth Proportional to 144,573.61, 216,613.64 and 102,383.60

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Solution

The fourth proportional to 144,573.61, 216,613.64 and 102,383.60 is: 153,400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,573.61 : 216,613.64 = 102,383.60 : x
  2. Step 2: Convert to fraction form
    144,573.61/216,613.64 = 102,383.60/x
  3. Step 3: Cross multiply
    144,573.61x = 216,613.64 × 102,383.60
  4. Step 4: Simplify right side
    144,573.61x = 22,177,683,445.19
  5. Step 5: Solve for x
    x = 22,177,683,445.19/144,573.61
  6. Step 6: Final answer
    x = 153,400.63

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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.