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Finding the Fourth Proportional to 233,048.10, 348,697.35 and 154,316.10

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Solution

The fourth proportional to 233,048.10, 348,697.35 and 154,316.10 is: 230,894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,048.10 : 348,697.35 = 154,316.10 : x
  2. Step 2: Convert to fraction form
    233,048.10/348,697.35 = 154,316.10/x
  3. Step 3: Cross multiply
    233,048.10x = 348,697.35 × 154,316.10
  4. Step 4: Simplify right side
    233,048.10x = 53,809,615,132.34
  5. Step 5: Solve for x
    x = 53,809,615,132.34/233,048.10
  6. Step 6: Final answer
    x = 230,894.89

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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.