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Finding the Fourth Proportional to 219,041.84, 328,598.16 and 85,849.84

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Solution

The fourth proportional to 219,041.84, 328,598.16 and 85,849.84 is: 128,788.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,041.84 : 328,598.16 = 85,849.84 : x
  2. Step 2: Convert to fraction form
    219,041.84/328,598.16 = 85,849.84/x
  3. Step 3: Cross multiply
    219,041.84x = 328,598.16 × 85,849.84
  4. Step 4: Simplify right side
    219,041.84x = 28,210,099,460.29
  5. Step 5: Solve for x
    x = 28,210,099,460.29/219,041.84
  6. Step 6: Final answer
    x = 128,788.63

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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.