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Finding the Fourth Proportional to 144,272.10, 216,420.45 and 37,670.19

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Solution

The fourth proportional to 144,272.10, 216,420.45 and 37,670.19 is: 56,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,272.10 : 216,420.45 = 37,670.19 : x
  2. Step 2: Convert to fraction form
    144,272.10/216,420.45 = 37,670.19/x
  3. Step 3: Cross multiply
    144,272.10x = 216,420.45 × 37,670.19
  4. Step 4: Simplify right side
    144,272.10x = 8,152,599,471.39
  5. Step 5: Solve for x
    x = 8,152,599,471.39/144,272.10
  6. Step 6: Final answer
    x = 56,508.50

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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.