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Finding the Fourth Proportional to 608,047.10, 912,070.65 and 164,815.10

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Solution

The fourth proportional to 608,047.10, 912,070.65 and 164,815.10 is: 247,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,047.10 : 912,070.65 = 164,815.10 : x
  2. Step 2: Convert to fraction form
    608,047.10/912,070.65 = 164,815.10/x
  3. Step 3: Cross multiply
    608,047.10x = 912,070.65 × 164,815.10
  4. Step 4: Simplify right side
    608,047.10x = 150,323,015,386.82
  5. Step 5: Solve for x
    x = 150,323,015,386.82/608,047.10
  6. Step 6: Final answer
    x = 247,222.65

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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.