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Finding the Fourth Proportional to 210,006.07, 289,814.35 and 114,518

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Solution

The fourth proportional to 210,006.07, 289,814.35 and 114,518 is: 158,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,006.07 : 289,814.35 = 114,518 : x
  2. Step 2: Convert to fraction form
    210,006.07/289,814.35 = 114,518/x
  3. Step 3: Cross multiply
    210,006.07x = 289,814.35 × 114,518
  4. Step 4: Simplify right side
    210,006.07x = 33,188,959,733.30
  5. Step 5: Solve for x
    x = 33,188,959,733.30/210,006.07
  6. Step 6: Final answer
    x = 158,038.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.