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Finding the Fourth Proportional to 202,316.54, 303,661.17 and 102,547.49

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Solution

The fourth proportional to 202,316.54, 303,661.17 and 102,547.49 is: 153,915.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,316.54 : 303,661.17 = 102,547.49 : x
  2. Step 2: Convert to fraction form
    202,316.54/303,661.17 = 102,547.49/x
  3. Step 3: Cross multiply
    202,316.54x = 303,661.17 × 102,547.49
  4. Step 4: Simplify right side
    202,316.54x = 31,139,689,275.66
  5. Step 5: Solve for x
    x = 31,139,689,275.66/202,316.54
  6. Step 6: Final answer
    x = 153,915.69

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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.