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Finding the Fourth Proportional to 104,643.83, 144,461.91 and 70,831.01

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Solution

The fourth proportional to 104,643.83, 144,461.91 and 70,831.01 is: 97,782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,643.83 : 144,461.91 = 70,831.01 : x
  2. Step 2: Convert to fraction form
    104,643.83/144,461.91 = 70,831.01/x
  3. Step 3: Cross multiply
    104,643.83x = 144,461.91 × 70,831.01
  4. Step 4: Simplify right side
    104,643.83x = 10,232,382,991.83
  5. Step 5: Solve for x
    x = 10,232,382,991.83/104,643.83
  6. Step 6: Final answer
    x = 97,782.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.