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Finding the Fourth Proportional to 229,478.51, 344,099.00 and 103,009.86

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Solution

The fourth proportional to 229,478.51, 344,099.00 and 103,009.86 is: 154,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,478.51 : 344,099.00 = 103,009.86 : x
  2. Step 2: Convert to fraction form
    229,478.51/344,099.00 = 103,009.86/x
  3. Step 3: Cross multiply
    229,478.51x = 344,099.00 × 103,009.86
  4. Step 4: Simplify right side
    229,478.51x = 35,445,590,073.66
  5. Step 5: Solve for x
    x = 35,445,590,073.66/229,478.51
  6. Step 6: Final answer
    x = 154,461.48

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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.