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Finding the Fourth Proportional to 102,289.16, 153,407.82 and 43,124.36

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Solution

The fourth proportional to 102,289.16, 153,407.82 and 43,124.36 is: 64,675.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,289.16 : 153,407.82 = 43,124.36 : x
  2. Step 2: Convert to fraction form
    102,289.16/153,407.82 = 43,124.36/x
  3. Step 3: Cross multiply
    102,289.16x = 153,407.82 × 43,124.36
  4. Step 4: Simplify right side
    102,289.16x = 6,615,614,056.50
  5. Step 5: Solve for x
    x = 6,615,614,056.50/102,289.16
  6. Step 6: Final answer
    x = 64,675.61

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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.