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Finding the Fourth Proportional to 209,655.98, 289,253.30 and 119,005.10

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Solution

The fourth proportional to 209,655.98, 289,253.30 and 119,005.10 is: 164,186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,655.98 : 289,253.30 = 119,005.10 : x
  2. Step 2: Convert to fraction form
    209,655.98/289,253.30 = 119,005.10/x
  3. Step 3: Cross multiply
    209,655.98x = 289,253.30 × 119,005.10
  4. Step 4: Simplify right side
    209,655.98x = 34,422,617,891.83
  5. Step 5: Solve for x
    x = 34,422,617,891.83/209,655.98
  6. Step 6: Final answer
    x = 164,186.20

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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.