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Finding the Fourth Proportional to 174,528, 240,840 and 106,466.40

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Solution

The fourth proportional to 174,528, 240,840 and 106,466.40 is: 146,918.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,528 : 240,840 = 106,466.40 : x
  2. Step 2: Convert to fraction form
    174,528/240,840 = 106,466.40/x
  3. Step 3: Cross multiply
    174,528x = 240,840 × 106,466.40
  4. Step 4: Simplify right side
    174,528x = 25,641,367,776
  5. Step 5: Solve for x
    x = 25,641,367,776/174,528
  6. Step 6: Final answer
    x = 146,918.36

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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.