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Finding the Fourth Proportional to 176,459.40, 264,689.10 and 106,475.40

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Solution

The fourth proportional to 176,459.40, 264,689.10 and 106,475.40 is: 159,713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,459.40 : 264,689.10 = 106,475.40 : x
  2. Step 2: Convert to fraction form
    176,459.40/264,689.10 = 106,475.40/x
  3. Step 3: Cross multiply
    176,459.40x = 264,689.10 × 106,475.40
  4. Step 4: Simplify right side
    176,459.40x = 28,182,877,798.14
  5. Step 5: Solve for x
    x = 28,182,877,798.14/176,459.40
  6. Step 6: Final answer
    x = 159,713.10

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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.