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Finding the Fourth Proportional to 202,243.10, 303,364.65 and 102,710.30

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Solution

The fourth proportional to 202,243.10, 303,364.65 and 102,710.30 is: 154,065.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,243.10 : 303,364.65 = 102,710.30 : x
  2. Step 2: Convert to fraction form
    202,243.10/303,364.65 = 102,710.30/x
  3. Step 3: Cross multiply
    202,243.10x = 303,364.65 × 102,710.30
  4. Step 4: Simplify right side
    202,243.10x = 31,158,674,210.90
  5. Step 5: Solve for x
    x = 31,158,674,210.90/202,243.10
  6. Step 6: Final answer
    x = 154,065.45

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1.5x scale

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.