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Finding the Fourth Proportional to 243,111.60, 364,478.57 and 157,541.69

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Solution

The fourth proportional to 243,111.60, 364,478.57 and 157,541.69 is: 236,190.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,111.60 : 364,478.57 = 157,541.69 : x
  2. Step 2: Convert to fraction form
    243,111.60/364,478.57 = 157,541.69/x
  3. Step 3: Cross multiply
    243,111.60x = 364,478.57 × 157,541.69
  4. Step 4: Simplify right side
    243,111.60x = 57,420,569,886.58
  5. Step 5: Solve for x
    x = 57,420,569,886.58/243,111.60
  6. Step 6: Final answer
    x = 236,190.17

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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.