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Finding the Fourth Proportional to 152,433.92, 210,341.79 and 84,434.02

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Solution

The fourth proportional to 152,433.92, 210,341.79 and 84,434.02 is: 116,509.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,433.92 : 210,341.79 = 84,434.02 : x
  2. Step 2: Convert to fraction form
    152,433.92/210,341.79 = 84,434.02/x
  3. Step 3: Cross multiply
    152,433.92x = 210,341.79 × 84,434.02
  4. Step 4: Simplify right side
    152,433.92x = 17,760,002,731.96
  5. Step 5: Solve for x
    x = 17,760,002,731.96/152,433.92
  6. Step 6: Final answer
    x = 116,509.52

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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.