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Finding the Fourth Proportional to 210,114, 289,957.32 and 114,621.08

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Solution

The fourth proportional to 210,114, 289,957.32 and 114,621.08 is: 158,177.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,114 : 289,957.32 = 114,621.08 : x
  2. Step 2: Convert to fraction form
    210,114/289,957.32 = 114,621.08/x
  3. Step 3: Cross multiply
    210,114x = 289,957.32 × 114,621.08
  4. Step 4: Simplify right side
    210,114x = 33,235,219,722.52
  5. Step 5: Solve for x
    x = 33,235,219,722.52/210,114
  6. Step 6: Final answer
    x = 158,177.08

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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.