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Finding the Fourth Proportional to 202,762.80, 304,451.40 and 156,068.40

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Solution

The fourth proportional to 202,762.80, 304,451.40 and 156,068.40 is: 234,339.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,762.80 : 304,451.40 = 156,068.40 : x
  2. Step 2: Convert to fraction form
    202,762.80/304,451.40 = 156,068.40/x
  3. Step 3: Cross multiply
    202,762.80x = 304,451.40 × 156,068.40
  4. Step 4: Simplify right side
    202,762.80x = 47,515,242,875.76
  5. Step 5: Solve for x
    x = 47,515,242,875.76/202,762.80
  6. Step 6: Final answer
    x = 234,339.05

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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.