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Finding the Fourth Proportional to 401,615.08, 602,038.62 and 148,827.88

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Solution

The fourth proportional to 401,615.08, 602,038.62 and 148,827.88 is: 223,099.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,615.08 : 602,038.62 = 148,827.88 : x
  2. Step 2: Convert to fraction form
    401,615.08/602,038.62 = 148,827.88/x
  3. Step 3: Cross multiply
    401,615.08x = 602,038.62 × 148,827.88
  4. Step 4: Simplify right side
    401,615.08x = 89,600,131,492.73
  5. Step 5: Solve for x
    x = 89,600,131,492.73/401,615.08
  6. Step 6: Final answer
    x = 223,099.52

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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.