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Finding the Fourth Proportional to 114,374.05, 157,890.42 and 76,197.22

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Solution

The fourth proportional to 114,374.05, 157,890.42 and 76,197.22 is: 105,188.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,374.05 : 157,890.42 = 76,197.22 : x
  2. Step 2: Convert to fraction form
    114,374.05/157,890.42 = 76,197.22/x
  3. Step 3: Cross multiply
    114,374.05x = 157,890.42 × 76,197.22
  4. Step 4: Simplify right side
    114,374.05x = 12,030,811,068.63
  5. Step 5: Solve for x
    x = 12,030,811,068.63/114,374.05
  6. Step 6: Final answer
    x = 105,188.29

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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.