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Finding the Fourth Proportional to 205,762.60, 308,643.90 and 65,535.40

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Solution

The fourth proportional to 205,762.60, 308,643.90 and 65,535.40 is: 98,303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,762.60 : 308,643.90 = 65,535.40 : x
  2. Step 2: Convert to fraction form
    205,762.60/308,643.90 = 65,535.40/x
  3. Step 3: Cross multiply
    205,762.60x = 308,643.90 × 65,535.40
  4. Step 4: Simplify right side
    205,762.60x = 20,227,101,444.06
  5. Step 5: Solve for x
    x = 20,227,101,444.06/205,762.60
  6. Step 6: Final answer
    x = 98,303.10

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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.