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Finding the Fourth Proportional to 282,800.16, 424,178.16 and 164,395.98

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Solution

The fourth proportional to 282,800.16, 424,178.16 and 164,395.98 is: 246,581.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,800.16 : 424,178.16 = 164,395.98 : x
  2. Step 2: Convert to fraction form
    282,800.16/424,178.16 = 164,395.98/x
  3. Step 3: Cross multiply
    282,800.16x = 424,178.16 × 164,395.98
  4. Step 4: Simplify right side
    282,800.16x = 69,733,184,307.80
  5. Step 5: Solve for x
    x = 69,733,184,307.80/282,800.16
  6. Step 6: Final answer
    x = 246,581.13

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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.