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Finding the Fourth Proportional to 153,504, 211,835.52 and 89,838.72

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Solution

The fourth proportional to 153,504, 211,835.52 and 89,838.72 is: 123,977.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,504 : 211,835.52 = 89,838.72 : x
  2. Step 2: Convert to fraction form
    153,504/211,835.52 = 89,838.72/x
  3. Step 3: Cross multiply
    153,504x = 211,835.52 × 89,838.72
  4. Step 4: Simplify right side
    153,504x = 19,031,031,967.33
  5. Step 5: Solve for x
    x = 19,031,031,967.33/153,504
  6. Step 6: Final answer
    x = 123,977.43

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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.