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Finding the Fourth Proportional to 209,897.32, 314,762.46 and 76,747.24

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Solution

The fourth proportional to 209,897.32, 314,762.46 and 76,747.24 is: 115,090.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,897.32 : 314,762.46 = 76,747.24 : x
  2. Step 2: Convert to fraction form
    209,897.32/314,762.46 = 76,747.24/x
  3. Step 3: Cross multiply
    209,897.32x = 314,762.46 × 76,747.24
  4. Step 4: Simplify right side
    209,897.32x = 24,157,150,060.61
  5. Step 5: Solve for x
    x = 24,157,150,060.61/209,897.32
  6. Step 6: Final answer
    x = 115,090.32

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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.