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Finding the Fourth Proportional to 152,434.73, 210,342.91 and 84,434.84

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Solution

The fourth proportional to 152,434.73, 210,342.91 and 84,434.84 is: 116,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,434.73 : 210,342.91 = 84,434.84 : x
  2. Step 2: Convert to fraction form
    152,434.73/210,342.91 = 84,434.84/x
  3. Step 3: Cross multiply
    152,434.73x = 210,342.91 × 84,434.84
  4. Step 4: Simplify right side
    152,434.73x = 17,760,268,688.18
  5. Step 5: Solve for x
    x = 17,760,268,688.18/152,434.73
  6. Step 6: Final answer
    x = 116,510.64

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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.