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Finding the Fourth Proportional to 205,434.60, 307,547.10 and 153,076.20

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Solution

The fourth proportional to 205,434.60, 307,547.10 and 153,076.20 is: 229,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,434.60 : 307,547.10 = 153,076.20 : x
  2. Step 2: Convert to fraction form
    205,434.60/307,547.10 = 153,076.20/x
  3. Step 3: Cross multiply
    205,434.60x = 307,547.10 × 153,076.20
  4. Step 4: Simplify right side
    205,434.60x = 47,078,141,389.02
  5. Step 5: Solve for x
    x = 47,078,141,389.02/205,434.60
  6. Step 6: Final answer
    x = 229,163.64

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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.