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Finding the Fourth Proportional to 205,386.60, 307,946.70 and 87,025.80

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Solution

The fourth proportional to 205,386.60, 307,946.70 and 87,025.80 is: 130,482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,386.60 : 307,946.70 = 87,025.80 : x
  2. Step 2: Convert to fraction form
    205,386.60/307,946.70 = 87,025.80/x
  3. Step 3: Cross multiply
    205,386.60x = 307,946.70 × 87,025.80
  4. Step 4: Simplify right side
    205,386.60x = 26,799,307,924.86
  5. Step 5: Solve for x
    x = 26,799,307,924.86/205,386.60
  6. Step 6: Final answer
    x = 130,482.26

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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.