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Finding the Fourth Proportional to 211,052.84, 291,250.70 and 114,254.52

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Solution

The fourth proportional to 211,052.84, 291,250.70 and 114,254.52 is: 157,670.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,052.84 : 291,250.70 = 114,254.52 : x
  2. Step 2: Convert to fraction form
    211,052.84/291,250.70 = 114,254.52/x
  3. Step 3: Cross multiply
    211,052.84x = 291,250.70 × 114,254.52
  4. Step 4: Simplify right side
    211,052.84x = 33,276,708,928.16
  5. Step 5: Solve for x
    x = 33,276,708,928.16/211,052.84
  6. Step 6: Final answer
    x = 157,670.04

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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.