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Finding the Fourth Proportional to 153,106.44, 211,292.29 and 85,142.69

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Solution

The fourth proportional to 153,106.44, 211,292.29 and 85,142.69 is: 117,499.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,106.44 : 211,292.29 = 85,142.69 : x
  2. Step 2: Convert to fraction form
    153,106.44/211,292.29 = 85,142.69/x
  3. Step 3: Cross multiply
    153,106.44x = 211,292.29 × 85,142.69
  4. Step 4: Simplify right side
    153,106.44x = 17,989,993,946.86
  5. Step 5: Solve for x
    x = 17,989,993,946.86/153,106.44
  6. Step 6: Final answer
    x = 117,499.92

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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.