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Finding the Fourth Proportional to 152,298.76, 210,267.54 and 97,873

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Solution

The fourth proportional to 152,298.76, 210,267.54 and 97,873 is: 135,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,298.76 : 210,267.54 = 97,873 : x
  2. Step 2: Convert to fraction form
    152,298.76/210,267.54 = 97,873/x
  3. Step 3: Cross multiply
    152,298.76x = 210,267.54 × 97,873
  4. Step 4: Simplify right side
    152,298.76x = 20,579,514,942.42
  5. Step 5: Solve for x
    x = 20,579,514,942.42/152,298.76
  6. Step 6: Final answer
    x = 135,125.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.