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Finding the Fourth Proportional to 166,044, 229,140.72 and 106,428

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Solution

The fourth proportional to 166,044, 229,140.72 and 106,428 is: 146,870.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,044 : 229,140.72 = 106,428 : x
  2. Step 2: Convert to fraction form
    166,044/229,140.72 = 106,428/x
  3. Step 3: Cross multiply
    166,044x = 229,140.72 × 106,428
  4. Step 4: Simplify right side
    166,044x = 24,386,988,548.16
  5. Step 5: Solve for x
    x = 24,386,988,548.16/166,044
  6. Step 6: Final answer
    x = 146,870.64

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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.