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Finding the Fourth Proportional to 232,089.68, 348,158.76 and 98,984

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Solution

The fourth proportional to 232,089.68, 348,158.76 and 98,984 is: 148,486.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,089.68 : 348,158.76 = 98,984 : x
  2. Step 2: Convert to fraction form
    232,089.68/348,158.76 = 98,984/x
  3. Step 3: Cross multiply
    232,089.68x = 348,158.76 × 98,984
  4. Step 4: Simplify right side
    232,089.68x = 34,462,146,699.84
  5. Step 5: Solve for x
    x = 34,462,146,699.84/232,089.68
  6. Step 6: Final answer
    x = 148,486.34

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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.