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Finding the Fourth Proportional to 210,102, 289,924.52 and 119,459.10

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Solution

The fourth proportional to 210,102, 289,924.52 and 119,459.10 is: 164,844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,102 : 289,924.52 = 119,459.10 : x
  2. Step 2: Convert to fraction form
    210,102/289,924.52 = 119,459.10/x
  3. Step 3: Cross multiply
    210,102x = 289,924.52 × 119,459.10
  4. Step 4: Simplify right side
    210,102x = 34,634,122,227.13
  5. Step 5: Solve for x
    x = 34,634,122,227.13/210,102
  6. Step 6: Final answer
    x = 164,844.32

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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.