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Finding the Fourth Proportional to 210,033.92, 289,864.04 and 119,418.32

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Solution

The fourth proportional to 210,033.92, 289,864.04 and 119,418.32 is: 164,807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,033.92 : 289,864.04 = 119,418.32 : x
  2. Step 2: Convert to fraction form
    210,033.92/289,864.04 = 119,418.32/x
  3. Step 3: Cross multiply
    210,033.92x = 289,864.04 × 119,418.32
  4. Step 4: Simplify right side
    210,033.92x = 34,615,076,812.78
  5. Step 5: Solve for x
    x = 34,615,076,812.78/210,033.92
  6. Step 6: Final answer
    x = 164,807.08

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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.