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Finding the Fourth Proportional to 152,698.32, 210,713.70 and 84,715.14

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Solution

The fourth proportional to 152,698.32, 210,713.70 and 84,715.14 is: 116,901.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,698.32 : 210,713.70 = 84,715.14 : x
  2. Step 2: Convert to fraction form
    152,698.32/210,713.70 = 84,715.14/x
  3. Step 3: Cross multiply
    152,698.32x = 210,713.70 × 84,715.14
  4. Step 4: Simplify right side
    152,698.32x = 17,850,640,595.42
  5. Step 5: Solve for x
    x = 17,850,640,595.42/152,698.32
  6. Step 6: Final answer
    x = 116,901.36

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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.