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Finding the Fourth Proportional to 200,547.60, 276,720.60 and 114,467.28

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Solution

The fourth proportional to 200,547.60, 276,720.60 and 114,467.28 is: 157,944.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,547.60 : 276,720.60 = 114,467.28 : x
  2. Step 2: Convert to fraction form
    200,547.60/276,720.60 = 114,467.28/x
  3. Step 3: Cross multiply
    200,547.60x = 276,720.60 × 114,467.28
  4. Step 4: Simplify right side
    200,547.60x = 31,675,453,793.52
  5. Step 5: Solve for x
    x = 31,675,453,793.52/200,547.60
  6. Step 6: Final answer
    x = 157,944.82

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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.