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Finding the Fourth Proportional to 213,330.84, 294,236.94 and 148,803.40

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Solution

The fourth proportional to 213,330.84, 294,236.94 and 148,803.40 is: 205,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,330.84 : 294,236.94 = 148,803.40 : x
  2. Step 2: Convert to fraction form
    213,330.84/294,236.94 = 148,803.40/x
  3. Step 3: Cross multiply
    213,330.84x = 294,236.94 × 148,803.40
  4. Step 4: Simplify right side
    213,330.84x = 43,783,457,077.60
  5. Step 5: Solve for x
    x = 43,783,457,077.60/213,330.84
  6. Step 6: Final answer
    x = 205,237.35

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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.