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Finding the Fourth Proportional to 210,057.84, 289,876.32 and 114,558.84

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Solution

The fourth proportional to 210,057.84, 289,876.32 and 114,558.84 is: 158,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,057.84 : 289,876.32 = 114,558.84 : x
  2. Step 2: Convert to fraction form
    210,057.84/289,876.32 = 114,558.84/x
  3. Step 3: Cross multiply
    210,057.84x = 289,876.32 × 114,558.84
  4. Step 4: Simplify right side
    210,057.84x = 33,207,894,962.67
  5. Step 5: Solve for x
    x = 33,207,894,962.67/210,057.84
  6. Step 6: Final answer
    x = 158,089.29

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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.