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Finding the Fourth Proportional to 199,528, 299,291.60 and 116,363.68

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Solution

The fourth proportional to 199,528, 299,291.60 and 116,363.68 is: 174,545.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,528 : 299,291.60 = 116,363.68 : x
  2. Step 2: Convert to fraction form
    199,528/299,291.60 = 116,363.68/x
  3. Step 3: Cross multiply
    199,528x = 299,291.60 × 116,363.68
  4. Step 4: Simplify right side
    199,528x = 34,826,671,969.09
  5. Step 5: Solve for x
    x = 34,826,671,969.09/199,528
  6. Step 6: Final answer
    x = 174,545.29

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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.