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Finding the Fourth Proportional to 153,312.63, 229,971.02 and 48,131.61

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Solution

The fourth proportional to 153,312.63, 229,971.02 and 48,131.61 is: 72,198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,312.63 : 229,971.02 = 48,131.61 : x
  2. Step 2: Convert to fraction form
    153,312.63/229,971.02 = 48,131.61/x
  3. Step 3: Cross multiply
    153,312.63x = 229,971.02 × 48,131.61
  4. Step 4: Simplify right side
    153,312.63x = 11,068,875,445.94
  5. Step 5: Solve for x
    x = 11,068,875,445.94/153,312.63
  6. Step 6: Final answer
    x = 72,198.07

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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.