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Finding the Fourth Proportional to 211,065.59, 291,270.98 and 114,270.47

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Solution

The fourth proportional to 211,065.59, 291,270.98 and 114,270.47 is: 157,693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,065.59 : 291,270.98 = 114,270.47 : x
  2. Step 2: Convert to fraction form
    211,065.59/291,270.98 = 114,270.47/x
  3. Step 3: Cross multiply
    211,065.59x = 291,270.98 × 114,270.47
  4. Step 4: Simplify right side
    211,065.59x = 33,283,670,611.28
  5. Step 5: Solve for x
    x = 33,283,670,611.28/211,065.59
  6. Step 6: Final answer
    x = 157,693.49

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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.