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Finding the Fourth Proportional to 153,068.64, 211,237.25 and 84,161.01

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Solution

The fourth proportional to 153,068.64, 211,237.25 and 84,161.01 is: 116,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,068.64 : 211,237.25 = 84,161.01 : x
  2. Step 2: Convert to fraction form
    153,068.64/211,237.25 = 84,161.01/x
  3. Step 3: Cross multiply
    153,068.64x = 211,237.25 × 84,161.01
  4. Step 4: Simplify right side
    153,068.64x = 17,777,941,312.16
  5. Step 5: Solve for x
    x = 17,777,941,312.16/153,068.64
  6. Step 6: Final answer
    x = 116,143.59

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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.