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Finding the Fourth Proportional to 200,357, 276,492.66 and 110,938.76

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Solution

The fourth proportional to 200,357, 276,492.66 and 110,938.76 is: 153,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,357 : 276,492.66 = 110,938.76 : x
  2. Step 2: Convert to fraction form
    200,357/276,492.66 = 110,938.76/x
  3. Step 3: Cross multiply
    200,357x = 276,492.66 × 110,938.76
  4. Step 4: Simplify right side
    200,357x = 30,673,752,849.50
  5. Step 5: Solve for x
    x = 30,673,752,849.50/200,357
  6. Step 6: Final answer
    x = 153,095.49

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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.