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Finding the Fourth Proportional to 153,762.74, 230,653.84 and 65,004.56

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Solution

The fourth proportional to 153,762.74, 230,653.84 and 65,004.56 is: 97,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,762.74 : 230,653.84 = 65,004.56 : x
  2. Step 2: Convert to fraction form
    153,762.74/230,653.84 = 65,004.56/x
  3. Step 3: Cross multiply
    153,762.74x = 230,653.84 × 65,004.56
  4. Step 4: Simplify right side
    153,762.74x = 14,993,551,381.51
  5. Step 5: Solve for x
    x = 14,993,551,381.51/153,762.74
  6. Step 6: Final answer
    x = 97,510.95

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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.