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Finding the Fourth Proportional to 219,232.60, 328,848.90 and 152,877.40

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Solution

The fourth proportional to 219,232.60, 328,848.90 and 152,877.40 is: 229,316.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,232.60 : 328,848.90 = 152,877.40 : x
  2. Step 2: Convert to fraction form
    219,232.60/328,848.90 = 152,877.40/x
  3. Step 3: Cross multiply
    219,232.60x = 328,848.90 × 152,877.40
  4. Step 4: Simplify right side
    219,232.60x = 50,273,564,824.86
  5. Step 5: Solve for x
    x = 50,273,564,824.86/219,232.60
  6. Step 6: Final answer
    x = 229,316.10

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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.