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Finding the Fourth Proportional to 145,795.76, 217,894.80 and 106,435.76

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Solution

The fourth proportional to 145,795.76, 217,894.80 and 106,435.76 is: 159,070.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,795.76 : 217,894.80 = 106,435.76 : x
  2. Step 2: Convert to fraction form
    145,795.76/217,894.80 = 106,435.76/x
  3. Step 3: Cross multiply
    145,795.76x = 217,894.80 × 106,435.76
  4. Step 4: Simplify right side
    145,795.76x = 23,191,798,638.05
  5. Step 5: Solve for x
    x = 23,191,798,638.05/145,795.76
  6. Step 6: Final answer
    x = 159,070.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.