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Finding the Fourth Proportional to 214,881.80, 296,228.95 and 151,021.40

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Solution

The fourth proportional to 214,881.80, 296,228.95 and 151,021.40 is: 208,193.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,881.80 : 296,228.95 = 151,021.40 : x
  2. Step 2: Convert to fraction form
    214,881.80/296,228.95 = 151,021.40/x
  3. Step 3: Cross multiply
    214,881.80x = 296,228.95 × 151,021.40
  4. Step 4: Simplify right side
    214,881.80x = 44,736,908,890.83
  5. Step 5: Solve for x
    x = 44,736,908,890.83/214,881.80
  6. Step 6: Final answer
    x = 208,193.11

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Why These Related Problems?

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