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Finding the Fourth Proportional to 212,809.95, 293,675.81 and 117,316.65

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Solution

The fourth proportional to 212,809.95, 293,675.81 and 117,316.65 is: 161,895.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,809.95 : 293,675.81 = 117,316.65 : x
  2. Step 2: Convert to fraction form
    212,809.95/293,675.81 = 117,316.65/x
  3. Step 3: Cross multiply
    212,809.95x = 293,675.81 × 117,316.65
  4. Step 4: Simplify right side
    212,809.95x = 34,453,061,628.65
  5. Step 5: Solve for x
    x = 34,453,061,628.65/212,809.95
  6. Step 6: Final answer
    x = 161,895.92

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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.