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Finding the Fourth Proportional to 147,894.66, 221,774.76 and 42,688.62

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Solution

The fourth proportional to 147,894.66, 221,774.76 and 42,688.62 is: 64,013.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,894.66 : 221,774.76 = 42,688.62 : x
  2. Step 2: Convert to fraction form
    147,894.66/221,774.76 = 42,688.62/x
  3. Step 3: Cross multiply
    147,894.66x = 221,774.76 × 42,688.62
  4. Step 4: Simplify right side
    147,894.66x = 9,467,258,455.23
  5. Step 5: Solve for x
    x = 9,467,258,455.23/147,894.66
  6. Step 6: Final answer
    x = 64,013.52

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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.