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Finding the Fourth Proportional to 232,454.63, 320,792.13 and 130,487.45

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Solution

The fourth proportional to 232,454.63, 320,792.13 and 130,487.45 is: 180,075.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,454.63 : 320,792.13 = 130,487.45 : x
  2. Step 2: Convert to fraction form
    232,454.63/320,792.13 = 130,487.45/x
  3. Step 3: Cross multiply
    232,454.63x = 320,792.13 × 130,487.45
  4. Step 4: Simplify right side
    232,454.63x = 41,859,345,419.81
  5. Step 5: Solve for x
    x = 41,859,345,419.81/232,454.63
  6. Step 6: Final answer
    x = 180,075.33

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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.