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Finding the Fourth Proportional to 193,802.58, 290,706.12 and 51,647.04

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Solution

The fourth proportional to 193,802.58, 290,706.12 and 51,647.04 is: 77,471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,802.58 : 290,706.12 = 51,647.04 : x
  2. Step 2: Convert to fraction form
    193,802.58/290,706.12 = 51,647.04/x
  3. Step 3: Cross multiply
    193,802.58x = 290,706.12 × 51,647.04
  4. Step 4: Simplify right side
    193,802.58x = 15,014,110,607.88
  5. Step 5: Solve for x
    x = 15,014,110,607.88/193,802.58
  6. Step 6: Final answer
    x = 77,471.16

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1.5x scale

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.