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Finding the Fourth Proportional to 292,367.68, 438,588.42 and 102,783.48

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Solution

The fourth proportional to 292,367.68, 438,588.42 and 102,783.48 is: 154,188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,367.68 : 438,588.42 = 102,783.48 : x
  2. Step 2: Convert to fraction form
    292,367.68/438,588.42 = 102,783.48/x
  3. Step 3: Cross multiply
    292,367.68x = 438,588.42 × 102,783.48
  4. Step 4: Simplify right side
    292,367.68x = 45,079,644,095.30
  5. Step 5: Solve for x
    x = 45,079,644,095.30/292,367.68
  6. Step 6: Final answer
    x = 154,188.19

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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.