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Finding the Fourth Proportional to 191,325, 286,943.64 and 56,354.16

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Solution

The fourth proportional to 191,325, 286,943.64 and 56,354.16 is: 84,518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,325 : 286,943.64 = 56,354.16 : x
  2. Step 2: Convert to fraction form
    191,325/286,943.64 = 56,354.16/x
  3. Step 3: Cross multiply
    191,325x = 286,943.64 × 56,354.16
  4. Step 4: Simplify right side
    191,325x = 16,170,467,799.54
  5. Step 5: Solve for x
    x = 16,170,467,799.54/191,325
  6. Step 6: Final answer
    x = 84,518.32

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1.5x scale

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.