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Finding the Fourth Proportional to 346,039.86, 519,080.40 and 96,721.86

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Solution

The fourth proportional to 346,039.86, 519,080.40 and 96,721.86 is: 145,088.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,039.86 : 519,080.40 = 96,721.86 : x
  2. Step 2: Convert to fraction form
    346,039.86/519,080.40 = 96,721.86/x
  3. Step 3: Cross multiply
    346,039.86x = 519,080.40 × 96,721.86
  4. Step 4: Simplify right side
    346,039.86x = 50,206,421,777.54
  5. Step 5: Solve for x
    x = 50,206,421,777.54/346,039.86
  6. Step 6: Final answer
    x = 145,088.55

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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.