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Finding the Fourth Proportional to 181,315.76, 249,328.44 and 157,400.60

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Solution

The fourth proportional to 181,315.76, 249,328.44 and 157,400.60 is: 216,442.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,315.76 : 249,328.44 = 157,400.60 : x
  2. Step 2: Convert to fraction form
    181,315.76/249,328.44 = 157,400.60/x
  3. Step 3: Cross multiply
    181,315.76x = 249,328.44 × 157,400.60
  4. Step 4: Simplify right side
    181,315.76x = 39,244,446,053.06
  5. Step 5: Solve for x
    x = 39,244,446,053.06/181,315.76
  6. Step 6: Final answer
    x = 216,442.55

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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.