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Finding the Fourth Proportional to 205,030.94, 282,943.12 and 114,384.64

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Solution

The fourth proportional to 205,030.94, 282,943.12 and 114,384.64 is: 157,851.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,030.94 : 282,943.12 = 114,384.64 : x
  2. Step 2: Convert to fraction form
    205,030.94/282,943.12 = 114,384.64/x
  3. Step 3: Cross multiply
    205,030.94x = 282,943.12 × 114,384.64
  4. Step 4: Simplify right side
    205,030.94x = 32,364,346,921.68
  5. Step 5: Solve for x
    x = 32,364,346,921.68/205,030.94
  6. Step 6: Final answer
    x = 157,851.04

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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.