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Finding the Fourth Proportional to 210,201.64, 289,585.38 and 146,424.04

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Solution

The fourth proportional to 210,201.64, 289,585.38 and 146,424.04 is: 201,721.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,201.64 : 289,585.38 = 146,424.04 : x
  2. Step 2: Convert to fraction form
    210,201.64/289,585.38 = 146,424.04/x
  3. Step 3: Cross multiply
    210,201.64x = 289,585.38 × 146,424.04
  4. Step 4: Simplify right side
    210,201.64x = 42,402,261,264.54
  5. Step 5: Solve for x
    x = 42,402,261,264.54/210,201.64
  6. Step 6: Final answer
    x = 201,721.84

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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.