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Finding the Fourth Proportional to 160,303.65, 240,538.16 and 70,409.40

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Solution

The fourth proportional to 160,303.65, 240,538.16 and 70,409.40 is: 105,650.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,303.65 : 240,538.16 = 70,409.40 : x
  2. Step 2: Convert to fraction form
    160,303.65/240,538.16 = 70,409.40/x
  3. Step 3: Cross multiply
    160,303.65x = 240,538.16 × 70,409.40
  4. Step 4: Simplify right side
    160,303.65x = 16,936,146,796.71
  5. Step 5: Solve for x
    x = 16,936,146,796.71/160,303.65
  6. Step 6: Final answer
    x = 105,650.42

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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.