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Finding the Fourth Proportional to 114,153.55, 157,521.17 and 77,284.77

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Solution

The fourth proportional to 114,153.55, 157,521.17 and 77,284.77 is: 106,645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,153.55 : 157,521.17 = 77,284.77 : x
  2. Step 2: Convert to fraction form
    114,153.55/157,521.17 = 77,284.77/x
  3. Step 3: Cross multiply
    114,153.55x = 157,521.17 × 77,284.77
  4. Step 4: Simplify right side
    114,153.55x = 12,173,986,996.09
  5. Step 5: Solve for x
    x = 12,173,986,996.09/114,153.55
  6. Step 6: Final answer
    x = 106,645.72

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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.