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Finding the Fourth Proportional to 153,097.29, 211,262.29 and 85,110.13

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Solution

The fourth proportional to 153,097.29, 211,262.29 and 85,110.13 is: 117,445.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,097.29 : 211,262.29 = 85,110.13 : x
  2. Step 2: Convert to fraction form
    153,097.29/211,262.29 = 85,110.13/x
  3. Step 3: Cross multiply
    153,097.29x = 211,262.29 × 85,110.13
  4. Step 4: Simplify right side
    153,097.29x = 17,980,559,909.69
  5. Step 5: Solve for x
    x = 17,980,559,909.69/153,097.29
  6. Step 6: Final answer
    x = 117,445.32

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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.