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Finding the Fourth Proportional to 145,509.40, 200,804.63 and 81,846.64

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Solution

The fourth proportional to 145,509.40, 200,804.63 and 81,846.64 is: 112,949.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,509.40 : 200,804.63 = 81,846.64 : x
  2. Step 2: Convert to fraction form
    145,509.40/200,804.63 = 81,846.64/x
  3. Step 3: Cross multiply
    145,509.40x = 200,804.63 × 81,846.64
  4. Step 4: Simplify right side
    145,509.40x = 16,435,184,261.94
  5. Step 5: Solve for x
    x = 16,435,184,261.94/145,509.40
  6. Step 6: Final answer
    x = 112,949.30

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1.5x scale

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.