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Finding the Fourth Proportional to 114,160.50, 157,530.72 and 77,291.70

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Solution

The fourth proportional to 114,160.50, 157,530.72 and 77,291.70 is: 106,655.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,160.50 : 157,530.72 = 77,291.70 : x
  2. Step 2: Convert to fraction form
    114,160.50/157,530.72 = 77,291.70/x
  3. Step 3: Cross multiply
    114,160.50x = 157,530.72 × 77,291.70
  4. Step 4: Simplify right side
    114,160.50x = 12,175,817,151.02
  5. Step 5: Solve for x
    x = 12,175,817,151.02/114,160.50
  6. Step 6: Final answer
    x = 106,655.25

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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.