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Finding the Fourth Proportional to 153,232, 229,925.76 and 70,146.88

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Solution

The fourth proportional to 153,232, 229,925.76 and 70,146.88 is: 105,255.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,232 : 229,925.76 = 70,146.88 : x
  2. Step 2: Convert to fraction form
    153,232/229,925.76 = 70,146.88/x
  3. Step 3: Cross multiply
    153,232x = 229,925.76 × 70,146.88
  4. Step 4: Simplify right side
    153,232x = 16,128,574,695.63
  5. Step 5: Solve for x
    x = 16,128,574,695.63/153,232
  6. Step 6: Final answer
    x = 105,255.92

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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.