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Finding the Fourth Proportional to 105,421.50, 158,094.18 and 42,256.08

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Solution

The fourth proportional to 105,421.50, 158,094.18 and 42,256.08 is: 63,368.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,421.50 : 158,094.18 = 42,256.08 : x
  2. Step 2: Convert to fraction form
    105,421.50/158,094.18 = 42,256.08/x
  3. Step 3: Cross multiply
    105,421.50x = 158,094.18 × 42,256.08
  4. Step 4: Simplify right side
    105,421.50x = 6,680,440,317.61
  5. Step 5: Solve for x
    x = 6,680,440,317.61/105,421.50
  6. Step 6: Final answer
    x = 63,368.86

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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.