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Finding the Fourth Proportional to 176,567.40, 264,851.10 and 106,583.40

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Solution

The fourth proportional to 176,567.40, 264,851.10 and 106,583.40 is: 159,875.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,567.40 : 264,851.10 = 106,583.40 : x
  2. Step 2: Convert to fraction form
    176,567.40/264,851.10 = 106,583.40/x
  3. Step 3: Cross multiply
    176,567.40x = 264,851.10 × 106,583.40
  4. Step 4: Simplify right side
    176,567.40x = 28,228,730,731.74
  5. Step 5: Solve for x
    x = 28,228,730,731.74/176,567.40
  6. Step 6: Final answer
    x = 159,875.10

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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.