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Finding the Fourth Proportional to 102,196.98, 153,314.01 and 42,225.57

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Solution

The fourth proportional to 102,196.98, 153,314.01 and 42,225.57 is: 63,346.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,196.98 : 153,314.01 = 42,225.57 : x
  2. Step 2: Convert to fraction form
    102,196.98/153,314.01 = 42,225.57/x
  3. Step 3: Cross multiply
    102,196.98x = 153,314.01 × 42,225.57
  4. Step 4: Simplify right side
    102,196.98x = 6,473,771,461.24
  5. Step 5: Solve for x
    x = 6,473,771,461.24/102,196.98
  6. Step 6: Final answer
    x = 63,346.02

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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.