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Finding the Fourth Proportional to 232,264.65, 320,528.70 and 130,312.65

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Solution

The fourth proportional to 232,264.65, 320,528.70 and 130,312.65 is: 179,833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,264.65 : 320,528.70 = 130,312.65 : x
  2. Step 2: Convert to fraction form
    232,264.65/320,528.70 = 130,312.65/x
  3. Step 3: Cross multiply
    232,264.65x = 320,528.70 × 130,312.65
  4. Step 4: Simplify right side
    232,264.65x = 41,768,944,298.06
  5. Step 5: Solve for x
    x = 41,768,944,298.06/232,264.65
  6. Step 6: Final answer
    x = 179,833.41

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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.