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Finding the Fourth Proportional to 210,830.04, 316,348.97 and 98,518.01

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Solution

The fourth proportional to 210,830.04, 316,348.97 and 98,518.01 is: 147,825.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,830.04 : 316,348.97 = 98,518.01 : x
  2. Step 2: Convert to fraction form
    210,830.04/316,348.97 = 98,518.01/x
  3. Step 3: Cross multiply
    210,830.04x = 316,348.97 × 98,518.01
  4. Step 4: Simplify right side
    210,830.04x = 31,166,068,915.61
  5. Step 5: Solve for x
    x = 31,166,068,915.61/210,830.04
  6. Step 6: Final answer
    x = 147,825.56

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1.5x scale

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.