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Finding the Fourth Proportional to 238,740.94, 358,019.36 and 105,548.10

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Solution

The fourth proportional to 238,740.94, 358,019.36 and 105,548.10 is: 158,281.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,740.94 : 358,019.36 = 105,548.10 : x
  2. Step 2: Convert to fraction form
    238,740.94/358,019.36 = 105,548.10/x
  3. Step 3: Cross multiply
    238,740.94x = 358,019.36 × 105,548.10
  4. Step 4: Simplify right side
    238,740.94x = 37,788,261,684.99
  5. Step 5: Solve for x
    x = 37,788,261,684.99/238,740.94
  6. Step 6: Final answer
    x = 158,281.45

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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.