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Finding the Fourth Proportional to 191,258.26, 286,689.74 and 72,897.82

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Solution

The fourth proportional to 191,258.26, 286,689.74 and 72,897.82 is: 109,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,258.26 : 286,689.74 = 72,897.82 : x
  2. Step 2: Convert to fraction form
    191,258.26/286,689.74 = 72,897.82/x
  3. Step 3: Cross multiply
    191,258.26x = 286,689.74 × 72,897.82
  4. Step 4: Simplify right side
    191,258.26x = 20,899,057,062.37
  5. Step 5: Solve for x
    x = 20,899,057,062.37/191,258.26
  6. Step 6: Final answer
    x = 109,271.40

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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.