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Finding the Fourth Proportional to 205,428.64, 283,493.40 and 120,547.12

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Solution

The fourth proportional to 205,428.64, 283,493.40 and 120,547.12 is: 166,356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,428.64 : 283,493.40 = 120,547.12 : x
  2. Step 2: Convert to fraction form
    205,428.64/283,493.40 = 120,547.12/x
  3. Step 3: Cross multiply
    205,428.64x = 283,493.40 × 120,547.12
  4. Step 4: Simplify right side
    205,428.64x = 34,174,312,909.01
  5. Step 5: Solve for x
    x = 34,174,312,909.01/205,428.64
  6. Step 6: Final answer
    x = 166,356.13

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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.