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Finding the Fourth Proportional to 205,080.64, 282,924.02 and 128,547.48

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Solution

The fourth proportional to 205,080.64, 282,924.02 and 128,547.48 is: 177,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,080.64 : 282,924.02 = 128,547.48 : x
  2. Step 2: Convert to fraction form
    205,080.64/282,924.02 = 128,547.48/x
  3. Step 3: Cross multiply
    205,080.64x = 282,924.02 × 128,547.48
  4. Step 4: Simplify right side
    205,080.64x = 36,369,169,802.47
  5. Step 5: Solve for x
    x = 36,369,169,802.47/205,080.64
  6. Step 6: Final answer
    x = 177,340.82

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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.