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Finding the Fourth Proportional to 195,710.16, 270,573.61 and 144,642.35

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Solution

The fourth proportional to 195,710.16, 270,573.61 and 144,642.35 is: 199,971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,710.16 : 270,573.61 = 144,642.35 : x
  2. Step 2: Convert to fraction form
    195,710.16/270,573.61 = 144,642.35/x
  3. Step 3: Cross multiply
    195,710.16x = 270,573.61 × 144,642.35
  4. Step 4: Simplify right side
    195,710.16x = 39,136,402,798.38
  5. Step 5: Solve for x
    x = 39,136,402,798.38/195,710.16
  6. Step 6: Final answer
    x = 199,971.24

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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.