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Finding the Fourth Proportional to 152,053.34, 209,829.44 and 84,073.19

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Solution

The fourth proportional to 152,053.34, 209,829.44 and 84,073.19 is: 116,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,053.34 : 209,829.44 = 84,073.19 : x
  2. Step 2: Convert to fraction form
    152,053.34/209,829.44 = 84,073.19/x
  3. Step 3: Cross multiply
    152,053.34x = 209,829.44 × 84,073.19
  4. Step 4: Simplify right side
    152,053.34x = 17,641,029,537.75
  5. Step 5: Solve for x
    x = 17,641,029,537.75/152,053.34
  6. Step 6: Final answer
    x = 116,018.70

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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.