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Finding the Fourth Proportional to 312,470.94, 468,730.73 and 102,130.14

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Solution

The fourth proportional to 312,470.94, 468,730.73 and 102,130.14 is: 153,203.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,470.94 : 468,730.73 = 102,130.14 : x
  2. Step 2: Convert to fraction form
    312,470.94/468,730.73 = 102,130.14/x
  3. Step 3: Cross multiply
    312,470.94x = 468,730.73 × 102,130.14
  4. Step 4: Simplify right side
    312,470.94x = 47,871,535,077.20
  5. Step 5: Solve for x
    x = 47,871,535,077.20/312,470.94
  6. Step 6: Final answer
    x = 153,203.16

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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.