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Finding the Fourth Proportional to 97,119, 145,678.55 and 26,998.92

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Solution

The fourth proportional to 97,119, 145,678.55 and 26,998.92 is: 40,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,119 : 145,678.55 = 26,998.92 : x
  2. Step 2: Convert to fraction form
    97,119/145,678.55 = 26,998.92/x
  3. Step 3: Cross multiply
    97,119x = 145,678.55 × 26,998.92
  4. Step 4: Simplify right side
    97,119x = 3,933,163,382.17
  5. Step 5: Solve for x
    x = 3,933,163,382.17/97,119
  6. Step 6: Final answer
    x = 40,498.39

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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.