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Finding the Fourth Proportional to 153,013.66, 211,145.40 and 85,026.32

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Solution

The fourth proportional to 153,013.66, 211,145.40 and 85,026.32 is: 117,328.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,013.66 : 211,145.40 = 85,026.32 : x
  2. Step 2: Convert to fraction form
    153,013.66/211,145.40 = 85,026.32/x
  3. Step 3: Cross multiply
    153,013.66x = 211,145.40 × 85,026.32
  4. Step 4: Simplify right side
    153,013.66x = 17,952,916,874.79
  5. Step 5: Solve for x
    x = 17,952,916,874.79/153,013.66
  6. Step 6: Final answer
    x = 117,328.85

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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.