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Finding the Fourth Proportional to 210,133.01, 289,973.45 and 114,634.01

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Solution

The fourth proportional to 210,133.01, 289,973.45 and 114,634.01 is: 158,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,133.01 : 289,973.45 = 114,634.01 : x
  2. Step 2: Convert to fraction form
    210,133.01/289,973.45 = 114,634.01/x
  3. Step 3: Cross multiply
    210,133.01x = 289,973.45 × 114,634.01
  4. Step 4: Simplify right side
    210,133.01x = 33,240,818,793.86
  5. Step 5: Solve for x
    x = 33,240,818,793.86/210,133.01
  6. Step 6: Final answer
    x = 158,189.42

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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.