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Finding the Fourth Proportional to 153,111.85, 211,306.14 and 85,134.49

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Solution

The fourth proportional to 153,111.85, 211,306.14 and 85,134.49 is: 117,492.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,111.85 : 211,306.14 = 85,134.49 : x
  2. Step 2: Convert to fraction form
    153,111.85/211,306.14 = 85,134.49/x
  3. Step 3: Cross multiply
    153,111.85x = 211,306.14 × 85,134.49
  4. Step 4: Simplify right side
    153,111.85x = 17,989,440,462.77
  5. Step 5: Solve for x
    x = 17,989,440,462.77/153,111.85
  6. Step 6: Final answer
    x = 117,492.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.