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Finding the Fourth Proportional to 238,293.12, 357,303.04 and 97,936

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Solution

The fourth proportional to 238,293.12, 357,303.04 and 97,936 is: 146,847.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,293.12 : 357,303.04 = 97,936 : x
  2. Step 2: Convert to fraction form
    238,293.12/357,303.04 = 97,936/x
  3. Step 3: Cross multiply
    238,293.12x = 357,303.04 × 97,936
  4. Step 4: Simplify right side
    238,293.12x = 34,992,830,525.44
  5. Step 5: Solve for x
    x = 34,992,830,525.44/238,293.12
  6. Step 6: Final answer
    x = 146,847.84

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