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Finding the Fourth Proportional to 261,460.70, 360,851.96 and 146,746.17

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Solution

The fourth proportional to 261,460.70, 360,851.96 and 146,746.17 is: 202,530.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,460.70 : 360,851.96 = 146,746.17 : x
  2. Step 2: Convert to fraction form
    261,460.70/360,851.96 = 146,746.17/x
  3. Step 3: Cross multiply
    261,460.70x = 360,851.96 × 146,746.17
  4. Step 4: Simplify right side
    261,460.70x = 52,953,641,931.81
  5. Step 5: Solve for x
    x = 52,953,641,931.81/261,460.70
  6. Step 6: Final answer
    x = 202,530.03

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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.