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Finding the Fourth Proportional to 191,030.68, 286,603.26 and 77,119.84

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Solution

The fourth proportional to 191,030.68, 286,603.26 and 77,119.84 is: 115,702.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,030.68 : 286,603.26 = 77,119.84 : x
  2. Step 2: Convert to fraction form
    191,030.68/286,603.26 = 77,119.84/x
  3. Step 3: Cross multiply
    191,030.68x = 286,603.26 × 77,119.84
  4. Step 4: Simplify right side
    191,030.68x = 22,102,797,554.68
  5. Step 5: Solve for x
    x = 22,102,797,554.68/191,030.68
  6. Step 6: Final answer
    x = 115,702.87

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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.