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Finding the Fourth Proportional to 229,053.40, 343,580.10 and 102,693.40

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Solution

The fourth proportional to 229,053.40, 343,580.10 and 102,693.40 is: 154,040.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,053.40 : 343,580.10 = 102,693.40 : x
  2. Step 2: Convert to fraction form
    229,053.40/343,580.10 = 102,693.40/x
  3. Step 3: Cross multiply
    229,053.40x = 343,580.10 × 102,693.40
  4. Step 4: Simplify right side
    229,053.40x = 35,283,408,641.34
  5. Step 5: Solve for x
    x = 35,283,408,641.34/229,053.40
  6. Step 6: Final answer
    x = 154,040.10

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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.