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Finding the Fourth Proportional to 219,097.30, 328,621.65 and 61,341.70

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Solution

The fourth proportional to 219,097.30, 328,621.65 and 61,341.70 is: 92,005.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,097.30 : 328,621.65 = 61,341.70 : x
  2. Step 2: Convert to fraction form
    219,097.30/328,621.65 = 61,341.70/x
  3. Step 3: Cross multiply
    219,097.30x = 328,621.65 × 61,341.70
  4. Step 4: Simplify right side
    219,097.30x = 20,158,210,667.81
  5. Step 5: Solve for x
    x = 20,158,210,667.81/219,097.30
  6. Step 6: Final answer
    x = 92,005.75

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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.