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Finding the Fourth Proportional to 160,803.95, 241,224.64 and 61,038.77

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Solution

The fourth proportional to 160,803.95, 241,224.64 and 61,038.77 is: 91,565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,803.95 : 241,224.64 = 61,038.77 : x
  2. Step 2: Convert to fraction form
    160,803.95/241,224.64 = 61,038.77/x
  3. Step 3: Cross multiply
    160,803.95x = 241,224.64 × 61,038.77
  4. Step 4: Simplify right side
    160,803.95x = 14,724,053,960.57
  5. Step 5: Solve for x
    x = 14,724,053,960.57/160,803.95
  6. Step 6: Final answer
    x = 91,565.25

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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.