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Finding the Fourth Proportional to 191,856.69, 287,984.64 and 141,312.78

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Solution

The fourth proportional to 191,856.69, 287,984.64 and 141,312.78 is: 212,116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,856.69 : 287,984.64 = 141,312.78 : x
  2. Step 2: Convert to fraction form
    191,856.69/287,984.64 = 141,312.78/x
  3. Step 3: Cross multiply
    191,856.69x = 287,984.64 × 141,312.78
  4. Step 4: Simplify right side
    191,856.69x = 40,695,910,075.70
  5. Step 5: Solve for x
    x = 40,695,910,075.70/191,856.69
  6. Step 6: Final answer
    x = 212,116.19

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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.