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Finding the Fourth Proportional to 261,256.68, 360,511.12 and 144,973.08

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Solution

The fourth proportional to 261,256.68, 360,511.12 and 144,973.08 is: 200,050.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,256.68 : 360,511.12 = 144,973.08 : x
  2. Step 2: Convert to fraction form
    261,256.68/360,511.12 = 144,973.08/x
  3. Step 3: Cross multiply
    261,256.68x = 360,511.12 × 144,973.08
  4. Step 4: Simplify right side
    261,256.68x = 52,264,407,440.65
  5. Step 5: Solve for x
    x = 52,264,407,440.65/261,256.68
  6. Step 6: Final answer
    x = 200,050.03

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1.5x scale

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.