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Finding the Fourth Proportional to 160,776.48, 241,130.16 and 100,776

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Solution

The fourth proportional to 160,776.48, 241,130.16 and 100,776 is: 151,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,776.48 : 241,130.16 = 100,776 : x
  2. Step 2: Convert to fraction form
    160,776.48/241,130.16 = 100,776/x
  3. Step 3: Cross multiply
    160,776.48x = 241,130.16 × 100,776
  4. Step 4: Simplify right side
    160,776.48x = 24,300,133,004.16
  5. Step 5: Solve for x
    x = 24,300,133,004.16/160,776.48
  6. Step 6: Final answer
    x = 151,142.34

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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.