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Finding the Fourth Proportional to 140,668.80, 210,970.08 and 40,802.64

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Solution

The fourth proportional to 140,668.80, 210,970.08 and 40,802.64 is: 61,194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,668.80 : 210,970.08 = 40,802.64 : x
  2. Step 2: Convert to fraction form
    140,668.80/210,970.08 = 40,802.64/x
  3. Step 3: Cross multiply
    140,668.80x = 210,970.08 × 40,802.64
  4. Step 4: Simplify right side
    140,668.80x = 8,608,136,225.01
  5. Step 5: Solve for x
    x = 8,608,136,225.01/140,668.80
  6. Step 6: Final answer
    x = 61,194.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.