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Finding the Fourth Proportional to 358,210.51, 537,371.10 and 133,602.86

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Solution

The fourth proportional to 358,210.51, 537,371.10 and 133,602.86 is: 200,424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,210.51 : 537,371.10 = 133,602.86 : x
  2. Step 2: Convert to fraction form
    358,210.51/537,371.10 = 133,602.86/x
  3. Step 3: Cross multiply
    358,210.51x = 537,371.10 × 133,602.86
  4. Step 4: Simplify right side
    358,210.51x = 71,794,317,184.77
  5. Step 5: Solve for x
    x = 71,794,317,184.77/358,210.51
  6. Step 6: Final answer
    x = 200,424.93

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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.