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Finding the Fourth Proportional to 285,830.72, 428,746.08 and 98,740.16

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Solution

The fourth proportional to 285,830.72, 428,746.08 and 98,740.16 is: 148,110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,830.72 : 428,746.08 = 98,740.16 : x
  2. Step 2: Convert to fraction form
    285,830.72/428,746.08 = 98,740.16/x
  3. Step 3: Cross multiply
    285,830.72x = 428,746.08 × 98,740.16
  4. Step 4: Simplify right side
    285,830.72x = 42,334,456,538.57
  5. Step 5: Solve for x
    x = 42,334,456,538.57/285,830.72
  6. Step 6: Final answer
    x = 148,110.24

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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.