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Finding the Fourth Proportional to 103,097.58, 142,284.62 and 57,783.20

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Solution

The fourth proportional to 103,097.58, 142,284.62 and 57,783.20 is: 79,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,097.58 : 142,284.62 = 57,783.20 : x
  2. Step 2: Convert to fraction form
    103,097.58/142,284.62 = 57,783.20/x
  3. Step 3: Cross multiply
    103,097.58x = 142,284.62 × 57,783.20
  4. Step 4: Simplify right side
    103,097.58x = 8,221,660,654.38
  5. Step 5: Solve for x
    x = 8,221,660,654.38/103,097.58
  6. Step 6: Final answer
    x = 79,746.40

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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.