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Finding the Fourth Proportional to 202,262.40, 303,320.70 and 102,389.40

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Solution

The fourth proportional to 202,262.40, 303,320.70 and 102,389.40 is: 153,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,262.40 : 303,320.70 = 102,389.40 : x
  2. Step 2: Convert to fraction form
    202,262.40/303,320.70 = 102,389.40/x
  3. Step 3: Cross multiply
    202,262.40x = 303,320.70 × 102,389.40
  4. Step 4: Simplify right side
    202,262.40x = 31,056,824,480.58
  5. Step 5: Solve for x
    x = 31,056,824,480.58/202,262.40
  6. Step 6: Final answer
    x = 153,547.20

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