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Finding the Fourth Proportional to 153,029.65, 211,175.86 and 84,119.34

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Solution

The fourth proportional to 153,029.65, 211,175.86 and 84,119.34 is: 116,081.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,029.65 : 211,175.86 = 84,119.34 : x
  2. Step 2: Convert to fraction form
    153,029.65/211,175.86 = 84,119.34/x
  3. Step 3: Cross multiply
    153,029.65x = 211,175.86 × 84,119.34
  4. Step 4: Simplify right side
    153,029.65x = 17,763,973,756.83
  5. Step 5: Solve for x
    x = 17,763,973,756.83/153,029.65
  6. Step 6: Final answer
    x = 116,081.91

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