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Finding the Fourth Proportional to 233,762.10, 349,768.35 and 155,030.10

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Solution

The fourth proportional to 233,762.10, 349,768.35 and 155,030.10 is: 231,964.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,762.10 : 349,768.35 = 155,030.10 : x
  2. Step 2: Convert to fraction form
    233,762.10/349,768.35 = 155,030.10/x
  3. Step 3: Cross multiply
    233,762.10x = 349,768.35 × 155,030.10
  4. Step 4: Simplify right side
    233,762.10x = 54,224,622,277.34
  5. Step 5: Solve for x
    x = 54,224,622,277.34/233,762.10
  6. Step 6: Final answer
    x = 231,964.99

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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.