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Finding the Fourth Proportional to 153,106.72, 211,294.31 and 85,130.67

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Solution

The fourth proportional to 153,106.72, 211,294.31 and 85,130.67 is: 117,484.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,106.72 : 211,294.31 = 85,130.67 : x
  2. Step 2: Convert to fraction form
    153,106.72/211,294.31 = 85,130.67/x
  3. Step 3: Cross multiply
    153,106.72x = 211,294.31 × 85,130.67
  4. Step 4: Simplify right side
    153,106.72x = 17,987,626,177.49
  5. Step 5: Solve for x
    x = 17,987,626,177.49/153,106.72
  6. Step 6: Final answer
    x = 117,484.24

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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.