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Finding the Fourth Proportional to 242,613.12, 363,312 and 153,598.08

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Solution

The fourth proportional to 242,613.12, 363,312 and 153,598.08 is: 230,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,613.12 : 363,312 = 153,598.08 : x
  2. Step 2: Convert to fraction form
    242,613.12/363,312 = 153,598.08/x
  3. Step 3: Cross multiply
    242,613.12x = 363,312 × 153,598.08
  4. Step 4: Simplify right side
    242,613.12x = 55,804,025,640.96
  5. Step 5: Solve for x
    x = 55,804,025,640.96/242,613.12
  6. Step 6: Final answer
    x = 230,012.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.