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Finding the Fourth Proportional to 141,300, 211,950.48 and 42,804

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Solution

The fourth proportional to 141,300, 211,950.48 and 42,804 is: 64,206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,300 : 211,950.48 = 42,804 : x
  2. Step 2: Convert to fraction form
    141,300/211,950.48 = 42,804/x
  3. Step 3: Cross multiply
    141,300x = 211,950.48 × 42,804
  4. Step 4: Simplify right side
    141,300x = 9,072,328,345.92
  5. Step 5: Solve for x
    x = 9,072,328,345.92/141,300
  6. Step 6: Final answer
    x = 64,206.15

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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.