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Finding the Fourth Proportional to 178,211.58, 245,931.97 and 97,642.16

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Solution

The fourth proportional to 178,211.58, 245,931.97 and 97,642.16 is: 134,746.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,211.58 : 245,931.97 = 97,642.16 : x
  2. Step 2: Convert to fraction form
    178,211.58/245,931.97 = 97,642.16/x
  3. Step 3: Cross multiply
    178,211.58x = 245,931.97 × 97,642.16
  4. Step 4: Simplify right side
    178,211.58x = 24,013,328,763.86
  5. Step 5: Solve for x
    x = 24,013,328,763.86/178,211.58
  6. Step 6: Final answer
    x = 134,746.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.