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Finding the Fourth Proportional to 252,547.38, 348,510.29 and 137,828.30

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Solution

The fourth proportional to 252,547.38, 348,510.29 and 137,828.30 is: 190,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,547.38 : 348,510.29 = 137,828.30 : x
  2. Step 2: Convert to fraction form
    252,547.38/348,510.29 = 137,828.30/x
  3. Step 3: Cross multiply
    252,547.38x = 348,510.29 × 137,828.30
  4. Step 4: Simplify right side
    252,547.38x = 48,034,578,371.51
  5. Step 5: Solve for x
    x = 48,034,578,371.51/252,547.38
  6. Step 6: Final answer
    x = 190,200.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.