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Finding the Fourth Proportional to 153,123.94, 211,318.10 and 85,147.80

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Solution

The fourth proportional to 153,123.94, 211,318.10 and 85,147.80 is: 117,507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,123.94 : 211,318.10 = 85,147.80 : x
  2. Step 2: Convert to fraction form
    153,123.94/211,318.10 = 85,147.80/x
  3. Step 3: Cross multiply
    153,123.94x = 211,318.10 × 85,147.80
  4. Step 4: Simplify right side
    153,123.94x = 17,993,271,315.18
  5. Step 5: Solve for x
    x = 17,993,271,315.18/153,123.94
  6. Step 6: Final answer
    x = 117,507.89

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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.