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Finding the Fourth Proportional to 114,222.34, 157,676.25 and 85,934.98

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Solution

The fourth proportional to 114,222.34, 157,676.25 and 85,934.98 is: 118,627.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,222.34 : 157,676.25 = 85,934.98 : x
  2. Step 2: Convert to fraction form
    114,222.34/157,676.25 = 85,934.98/x
  3. Step 3: Cross multiply
    114,222.34x = 157,676.25 × 85,934.98
  4. Step 4: Simplify right side
    114,222.34x = 13,549,905,390.23
  5. Step 5: Solve for x
    x = 13,549,905,390.23/114,222.34
  6. Step 6: Final answer
    x = 118,627.45

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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.