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Finding the Fourth Proportional to 202,274.60, 303,606.30 and 102,547.40

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Solution

The fourth proportional to 202,274.60, 303,606.30 and 102,547.40 is: 153,919.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,274.60 : 303,606.30 = 102,547.40 : x
  2. Step 2: Convert to fraction form
    202,274.60/303,606.30 = 102,547.40/x
  3. Step 3: Cross multiply
    202,274.60x = 303,606.30 × 102,547.40
  4. Step 4: Simplify right side
    202,274.60x = 31,134,036,688.62
  5. Step 5: Solve for x
    x = 31,134,036,688.62/202,274.60
  6. Step 6: Final answer
    x = 153,919.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.