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Finding the Fourth Proportional to 195,886.65, 293,830.04 and 53,733.40

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Solution

The fourth proportional to 195,886.65, 293,830.04 and 53,733.40 is: 80,600.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,886.65 : 293,830.04 = 53,733.40 : x
  2. Step 2: Convert to fraction form
    195,886.65/293,830.04 = 53,733.40/x
  3. Step 3: Cross multiply
    195,886.65x = 293,830.04 × 53,733.40
  4. Step 4: Simplify right side
    195,886.65x = 15,788,487,071.34
  5. Step 5: Solve for x
    x = 15,788,487,071.34/195,886.65
  6. Step 6: Final answer
    x = 80,600.12

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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.