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Finding the Fourth Proportional to 210,092.28, 289,931.40 and 114,602.46

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Solution

The fourth proportional to 210,092.28, 289,931.40 and 114,602.46 is: 158,153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,092.28 : 289,931.40 = 114,602.46 : x
  2. Step 2: Convert to fraction form
    210,092.28/289,931.40 = 114,602.46/x
  3. Step 3: Cross multiply
    210,092.28x = 289,931.40 × 114,602.46
  4. Step 4: Simplify right side
    210,092.28x = 33,226,851,671.24
  5. Step 5: Solve for x
    x = 33,226,851,671.24/210,092.28
  6. Step 6: Final answer
    x = 158,153.61

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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.