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Finding the Fourth Proportional to 205,295.40, 307,712.70 and 86,946.60

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Solution

The fourth proportional to 205,295.40, 307,712.70 and 86,946.60 is: 130,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,295.40 : 307,712.70 = 86,946.60 : x
  2. Step 2: Convert to fraction form
    205,295.40/307,712.70 = 86,946.60/x
  3. Step 3: Cross multiply
    205,295.40x = 307,712.70 × 86,946.60
  4. Step 4: Simplify right side
    205,295.40x = 26,754,573,041.82
  5. Step 5: Solve for x
    x = 26,754,573,041.82/205,295.40
  6. Step 6: Final answer
    x = 130,322.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.