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Finding the Fourth Proportional to 153,114.63, 211,305.21 and 85,138.59

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Solution

The fourth proportional to 153,114.63, 211,305.21 and 85,138.59 is: 117,495.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,114.63 : 211,305.21 = 85,138.59 : x
  2. Step 2: Convert to fraction form
    153,114.63/211,305.21 = 85,138.59/x
  3. Step 3: Cross multiply
    153,114.63x = 211,305.21 × 85,138.59
  4. Step 4: Simplify right side
    153,114.63x = 17,990,227,639.05
  5. Step 5: Solve for x
    x = 17,990,227,639.05/153,114.63
  6. Step 6: Final answer
    x = 117,495.16

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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.