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Finding the Fourth Proportional to 145,409.40, 218,126.52 and 40,228.20

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Solution

The fourth proportional to 145,409.40, 218,126.52 and 40,228.20 is: 60,345.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,409.40 : 218,126.52 = 40,228.20 : x
  2. Step 2: Convert to fraction form
    145,409.40/218,126.52 = 40,228.20/x
  3. Step 3: Cross multiply
    145,409.40x = 218,126.52 × 40,228.20
  4. Step 4: Simplify right side
    145,409.40x = 8,774,837,271.86
  5. Step 5: Solve for x
    x = 8,774,837,271.86/145,409.40
  6. Step 6: Final answer
    x = 60,345.74

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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.