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Finding the Fourth Proportional to 153,090, 211,271.40 and 85,108.10

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Solution

The fourth proportional to 153,090, 211,271.40 and 85,108.10 is: 117,453.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,090 : 211,271.40 = 85,108.10 : x
  2. Step 2: Convert to fraction form
    153,090/211,271.40 = 85,108.10/x
  3. Step 3: Cross multiply
    153,090x = 211,271.40 × 85,108.10
  4. Step 4: Simplify right side
    153,090x = 17,980,906,381.98
  5. Step 5: Solve for x
    x = 17,980,906,381.98/153,090
  6. Step 6: Final answer
    x = 117,453.17

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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.