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Finding the Fourth Proportional to 209,752.95, 289,457.58 and 114,259.65

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Solution

The fourth proportional to 209,752.95, 289,457.58 and 114,259.65 is: 157,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,752.95 : 289,457.58 = 114,259.65 : x
  2. Step 2: Convert to fraction form
    209,752.95/289,457.58 = 114,259.65/x
  3. Step 3: Cross multiply
    209,752.95x = 289,457.58 × 114,259.65
  4. Step 4: Simplify right side
    209,752.95x = 33,073,321,123.65
  5. Step 5: Solve for x
    x = 33,073,321,123.65/209,752.95
  6. Step 6: Final answer
    x = 157,677.50

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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.