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Finding the Fourth Proportional to 358,857.54, 538,159.95 and 106,070.72

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Solution

The fourth proportional to 358,857.54, 538,159.95 and 106,070.72 is: 159,068.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,857.54 : 538,159.95 = 106,070.72 : x
  2. Step 2: Convert to fraction form
    358,857.54/538,159.95 = 106,070.72/x
  3. Step 3: Cross multiply
    358,857.54x = 538,159.95 × 106,070.72
  4. Step 4: Simplify right side
    358,857.54x = 57,083,010,680.86
  5. Step 5: Solve for x
    x = 57,083,010,680.86/358,857.54
  6. Step 6: Final answer
    x = 159,068.72

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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.