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Finding the Fourth Proportional to 261,223.38, 360,492.32 and 146,527.48

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Solution

The fourth proportional to 261,223.38, 360,492.32 and 146,527.48 is: 202,210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,223.38 : 360,492.32 = 146,527.48 : x
  2. Step 2: Convert to fraction form
    261,223.38/360,492.32 = 146,527.48/x
  3. Step 3: Cross multiply
    261,223.38x = 360,492.32 × 146,527.48
  4. Step 4: Simplify right side
    261,223.38x = 52,822,032,025.89
  5. Step 5: Solve for x
    x = 52,822,032,025.89/261,223.38
  6. Step 6: Final answer
    x = 202,210.20

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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.