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Finding the Fourth Proportional to 191,305.86, 286,966.08 and 97,702.26

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Solution

The fourth proportional to 191,305.86, 286,966.08 and 97,702.26 is: 146,557.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,305.86 : 286,966.08 = 97,702.26 : x
  2. Step 2: Convert to fraction form
    191,305.86/286,966.08 = 97,702.26/x
  3. Step 3: Cross multiply
    191,305.86x = 286,966.08 × 97,702.26
  4. Step 4: Simplify right side
    191,305.86x = 28,037,234,559.34
  5. Step 5: Solve for x
    x = 28,037,234,559.34/191,305.86
  6. Step 6: Final answer
    x = 146,557.11

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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.