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Finding the Fourth Proportional to 228,477.42, 315,298.80 and 127,875.42

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Solution

The fourth proportional to 228,477.42, 315,298.80 and 127,875.42 is: 176,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,477.42 : 315,298.80 = 127,875.42 : x
  2. Step 2: Convert to fraction form
    228,477.42/315,298.80 = 127,875.42/x
  3. Step 3: Cross multiply
    228,477.42x = 315,298.80 × 127,875.42
  4. Step 4: Simplify right side
    228,477.42x = 40,318,966,475.50
  5. Step 5: Solve for x
    x = 40,318,966,475.50/228,477.42
  6. Step 6: Final answer
    x = 176,468.06

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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.