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Finding the Fourth Proportional to 249,714, 374,571.36 and 101,970

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Solution

The fourth proportional to 249,714, 374,571.36 and 101,970 is: 152,955.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,714 : 374,571.36 = 101,970 : x
  2. Step 2: Convert to fraction form
    249,714/374,571.36 = 101,970/x
  3. Step 3: Cross multiply
    249,714x = 374,571.36 × 101,970
  4. Step 4: Simplify right side
    249,714x = 38,195,041,579.20
  5. Step 5: Solve for x
    x = 38,195,041,579.20/249,714
  6. Step 6: Final answer
    x = 152,955.15

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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.