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Finding the Fourth Proportional to 228,498.64, 342,762.48 and 70,713.84

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Solution

The fourth proportional to 228,498.64, 342,762.48 and 70,713.84 is: 106,075.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,498.64 : 342,762.48 = 70,713.84 : x
  2. Step 2: Convert to fraction form
    228,498.64/342,762.48 = 70,713.84/x
  3. Step 3: Cross multiply
    228,498.64x = 342,762.48 × 70,713.84
  4. Step 4: Simplify right side
    228,498.64x = 24,238,051,168.72
  5. Step 5: Solve for x
    x = 24,238,051,168.72/228,498.64
  6. Step 6: Final answer
    x = 106,075.25

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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.