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Finding the Fourth Proportional to 162,438.42, 224,075.02 and 94,447.88

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Solution

The fourth proportional to 162,438.42, 224,075.02 and 94,447.88 is: 130,285.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,438.42 : 224,075.02 = 94,447.88 : x
  2. Step 2: Convert to fraction form
    162,438.42/224,075.02 = 94,447.88/x
  3. Step 3: Cross multiply
    162,438.42x = 224,075.02 × 94,447.88
  4. Step 4: Simplify right side
    162,438.42x = 21,163,409,007.34
  5. Step 5: Solve for x
    x = 21,163,409,007.34/162,438.42
  6. Step 6: Final answer
    x = 130,285.74

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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.