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Finding the Fourth Proportional to 153,555.62, 211,898.16 and 84,642.84

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Solution

The fourth proportional to 153,555.62, 211,898.16 and 84,642.84 is: 116,802.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,555.62 : 211,898.16 = 84,642.84 : x
  2. Step 2: Convert to fraction form
    153,555.62/211,898.16 = 84,642.84/x
  3. Step 3: Cross multiply
    153,555.62x = 211,898.16 × 84,642.84
  4. Step 4: Simplify right side
    153,555.62x = 17,935,662,053.17
  5. Step 5: Solve for x
    x = 17,935,662,053.17/153,555.62
  6. Step 6: Final answer
    x = 116,802.38

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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.