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Finding the Fourth Proportional to 152,782.92, 210,838.90 and 84,798.14

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Solution

The fourth proportional to 152,782.92, 210,838.90 and 84,798.14 is: 117,020.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,782.92 : 210,838.90 = 84,798.14 : x
  2. Step 2: Convert to fraction form
    152,782.92/210,838.90 = 84,798.14/x
  3. Step 3: Cross multiply
    152,782.92x = 210,838.90 × 84,798.14
  4. Step 4: Simplify right side
    152,782.92x = 17,878,746,559.65
  5. Step 5: Solve for x
    x = 17,878,746,559.65/152,782.92
  6. Step 6: Final answer
    x = 117,020.58

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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.