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Finding the Fourth Proportional to 191,857.04, 287,985.17 and 141,313.14

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Solution

The fourth proportional to 191,857.04, 287,985.17 and 141,313.14 is: 212,116.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,857.04 : 287,985.17 = 141,313.14 : x
  2. Step 2: Convert to fraction form
    191,857.04/287,985.17 = 141,313.14/x
  3. Step 3: Cross multiply
    191,857.04x = 287,985.17 × 141,313.14
  4. Step 4: Simplify right side
    191,857.04x = 40,696,088,999.42
  5. Step 5: Solve for x
    x = 40,696,088,999.42/191,857.04
  6. Step 6: Final answer
    x = 212,116.73

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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.