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Finding the Fourth Proportional to 153,002.59, 211,139.36 and 85,017.80

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Solution

The fourth proportional to 153,002.59, 211,139.36 and 85,017.80 is: 117,322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,002.59 : 211,139.36 = 85,017.80 : x
  2. Step 2: Convert to fraction form
    153,002.59/211,139.36 = 85,017.80/x
  3. Step 3: Cross multiply
    153,002.59x = 211,139.36 × 85,017.80
  4. Step 4: Simplify right side
    153,002.59x = 17,950,604,302.18
  5. Step 5: Solve for x
    x = 17,950,604,302.18/153,002.59
  6. Step 6: Final answer
    x = 117,322.23

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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.