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Finding the Fourth Proportional to 105,307.93, 157,978.32 and 63,178.12

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Solution

The fourth proportional to 105,307.93, 157,978.32 and 63,178.12 is: 94,777.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,307.93 : 157,978.32 = 63,178.12 : x
  2. Step 2: Convert to fraction form
    105,307.93/157,978.32 = 63,178.12/x
  3. Step 3: Cross multiply
    105,307.93x = 157,978.32 × 63,178.12
  4. Step 4: Simplify right side
    105,307.93x = 9,980,773,258.36
  5. Step 5: Solve for x
    x = 9,980,773,258.36/105,307.93
  6. Step 6: Final answer
    x = 94,777.03

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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.