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Finding the Fourth Proportional to 202,068.40, 303,430.65 and 135,802.30

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Solution

The fourth proportional to 202,068.40, 303,430.65 and 135,802.30 is: 203,923.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,068.40 : 303,430.65 = 135,802.30 : x
  2. Step 2: Convert to fraction form
    202,068.40/303,430.65 = 135,802.30/x
  3. Step 3: Cross multiply
    202,068.40x = 303,430.65 × 135,802.30
  4. Step 4: Simplify right side
    202,068.40x = 41,206,580,160.50
  5. Step 5: Solve for x
    x = 41,206,580,160.50/202,068.40
  6. Step 6: Final answer
    x = 203,923.92

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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.