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Finding the Fourth Proportional to 242,382.72, 334,484.16 and 141,797.76

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Solution

The fourth proportional to 242,382.72, 334,484.16 and 141,797.76 is: 195,678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,382.72 : 334,484.16 = 141,797.76 : x
  2. Step 2: Convert to fraction form
    242,382.72/334,484.16 = 141,797.76/x
  3. Step 3: Cross multiply
    242,382.72x = 334,484.16 × 141,797.76
  4. Step 4: Simplify right side
    242,382.72x = 47,429,104,643.48
  5. Step 5: Solve for x
    x = 47,429,104,643.48/242,382.72
  6. Step 6: Final answer
    x = 195,678.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.