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Finding the Fourth Proportional to 152,797.46, 210,838.01 and 84,814.95

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Solution

The fourth proportional to 152,797.46, 210,838.01 and 84,814.95 is: 117,032.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,797.46 : 210,838.01 = 84,814.95 : x
  2. Step 2: Convert to fraction form
    152,797.46/210,838.01 = 84,814.95/x
  3. Step 3: Cross multiply
    152,797.46x = 210,838.01 × 84,814.95
  4. Step 4: Simplify right side
    152,797.46x = 17,882,214,852.17
  5. Step 5: Solve for x
    x = 17,882,214,852.17/152,797.46
  6. Step 6: Final answer
    x = 117,032.15

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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.