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Finding the Fourth Proportional to 145,830.78, 218,983.50 and 90,025.63

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Solution

The fourth proportional to 145,830.78, 218,983.50 and 90,025.63 is: 135,184.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,830.78 : 218,983.50 = 90,025.63 : x
  2. Step 2: Convert to fraction form
    145,830.78/218,983.50 = 90,025.63/x
  3. Step 3: Cross multiply
    145,830.78x = 218,983.50 × 90,025.63
  4. Step 4: Simplify right side
    145,830.78x = 19,714,127,547.11
  5. Step 5: Solve for x
    x = 19,714,127,547.11/145,830.78
  6. Step 6: Final answer
    x = 135,184.96

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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.