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Finding the Fourth Proportional to 152,602.30, 228,903.45 and 123,077.80

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Solution

The fourth proportional to 152,602.30, 228,903.45 and 123,077.80 is: 184,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,602.30 : 228,903.45 = 123,077.80 : x
  2. Step 2: Convert to fraction form
    152,602.30/228,903.45 = 123,077.80/x
  3. Step 3: Cross multiply
    152,602.30x = 228,903.45 × 123,077.80
  4. Step 4: Simplify right side
    152,602.30x = 28,172,933,038.41
  5. Step 5: Solve for x
    x = 28,172,933,038.41/152,602.30
  6. Step 6: Final answer
    x = 184,616.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.