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Finding the Fourth Proportional to 153,409.76, 230,127.94 and 46,817.72

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Solution

The fourth proportional to 153,409.76, 230,127.94 and 46,817.72 is: 70,230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,409.76 : 230,127.94 = 46,817.72 : x
  2. Step 2: Convert to fraction form
    153,409.76/230,127.94 = 46,817.72/x
  3. Step 3: Cross multiply
    153,409.76x = 230,127.94 × 46,817.72
  4. Step 4: Simplify right side
    153,409.76x = 10,774,065,459.10
  5. Step 5: Solve for x
    x = 10,774,065,459.10/153,409.76
  6. Step 6: Final answer
    x = 70,230.64

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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.