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Finding the Fourth Proportional to 101,409.40, 152,114.10 and 42,225.40

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Solution

The fourth proportional to 101,409.40, 152,114.10 and 42,225.40 is: 63,338.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,409.40 : 152,114.10 = 42,225.40 : x
  2. Step 2: Convert to fraction form
    101,409.40/152,114.10 = 42,225.40/x
  3. Step 3: Cross multiply
    101,409.40x = 152,114.10 × 42,225.40
  4. Step 4: Simplify right side
    101,409.40x = 6,423,078,718.14
  5. Step 5: Solve for x
    x = 6,423,078,718.14/101,409.40
  6. Step 6: Final answer
    x = 63,338.10

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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.