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Finding the Fourth Proportional to 100,784.94, 139,054.36 and 64,995.50

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Solution

The fourth proportional to 100,784.94, 139,054.36 and 64,995.50 is: 89,675.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,784.94 : 139,054.36 = 64,995.50 : x
  2. Step 2: Convert to fraction form
    100,784.94/139,054.36 = 64,995.50/x
  3. Step 3: Cross multiply
    100,784.94x = 139,054.36 × 64,995.50
  4. Step 4: Simplify right side
    100,784.94x = 9,037,907,655.38
  5. Step 5: Solve for x
    x = 9,037,907,655.38/100,784.94
  6. Step 6: Final answer
    x = 89,675.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.