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Finding the Fourth Proportional to 186,307.32, 257,106.42 and 101,424.36

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Solution

The fourth proportional to 186,307.32, 257,106.42 and 101,424.36 is: 139,966.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,307.32 : 257,106.42 = 101,424.36 : x
  2. Step 2: Convert to fraction form
    186,307.32/257,106.42 = 101,424.36/x
  3. Step 3: Cross multiply
    186,307.32x = 257,106.42 × 101,424.36
  4. Step 4: Simplify right side
    186,307.32x = 26,076,854,100.39
  5. Step 5: Solve for x
    x = 26,076,854,100.39/186,307.32
  6. Step 6: Final answer
    x = 139,966.88

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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.